85559269800960 has 704 divisors, whose sum is σ = 316128681469440. Its totient is φ = 21926996213760.

The previous prime is 85559269800959. The next prime is 85559269801007. The reversal of 85559269800960 is 6900896295558.

85559269800960 is a `hidden beast` number, since 8 + 5 + 559 + 2 + 6 + 9 + 8 + 0 + 0 + 9 + 60 = 666.

85559269800960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 379632627 + ... + 379857933.

Almost surely, 2^{85559269800960} is an apocalyptic number.

85559269800960 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 85559269800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158064340734720).

85559269800960 is an abundant number, since it is smaller than the sum of its proper divisors (230569411668480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85559269800960 is a wasteful number, since it uses less digits than its factorization.

85559269800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225449 (or 225425 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 85559269800960 in words is "eighty-five trillion, five hundred fifty-nine billion, two hundred sixty-nine million, eight hundred thousand, nine hundred sixty".