| Base | Representation |
|---|---|
| bin | 10011011110011100100000… |
| … | …110110010101100000000000 |
| 3 | 102020021112202001220012100100 |
| 4 | 103132130200312111200000 |
| 5 | 42211333102434231010 |
| 6 | 502101222522322400 |
| 7 | 24020242554133056 |
| oct | 2336344066254000 |
| 9 | 366245661805310 |
| 10 | 85655083898880 |
| 11 | 25324131923771 |
| 12 | 9734642359400 |
| 13 | 38a4316979192 |
| 14 | 1721a2a1b21d6 |
| 15 | 9d8142d482c0 |
| hex | 4de720d95800 |
85655083898880 has 1152 divisors, whose sum is σ = 321003983664000. Its totient is φ = 21058698608640.
The previous prime is 85655083898863. The next prime is 85655083898887. The reversal of 85655083898880 is 8889838055658.
85655083898880 is a `hidden beast` number, since 8 + 56 + 550 + 8 + 3 + 8 + 9 + 8 + 8 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a self number, because there is not a number n which added to its sum of digits gives 85655083898880.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (85655083898887) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62023955790 + ... + 62023957170.
It is an arithmetic number, because the mean of its divisors is an integer number (278649291375).
Almost surely, 285655083898880 is an apocalyptic number.
85655083898880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 85655083898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160501991832000).
85655083898880 is an abundant number, since it is smaller than the sum of its proper divisors (235348899765120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85655083898880 is a wasteful number, since it uses less digits than its factorization.
85655083898880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2475 (or 2452 counting only the distinct ones).
The product of its (nonzero) digits is 5308416000, while the sum is 81.
The spelling of 85655083898880 in words is "eighty-five trillion, six hundred fifty-five billion, eighty-three million, eight hundred ninety-eight thousand, eight hundred eighty".
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