84885728578560 has 4928 divisors, whose sum is σ = 406056847198464. Its totient is φ = 16511297126400.

The previous prime is 84885728578549. The next prime is 84885728578601. The reversal of 84885728578560 is 6587582758848.

84885728578560 is a `hidden beast` number, since 8 + 48 + 8 + 5 + 7 + 2 + 8 + 5 + 7 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 84885728578560.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 352222940040 + ... + 352222940280.

It is an arithmetic number, because the mean of its divisors is an integer number (82397899188).

Almost surely, 2^{84885728578560} is an apocalyptic number.

84885728578560 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 84885728578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203028423599232).

84885728578560 is an abundant number, since it is smaller than the sum of its proper divisors (321171118619904).

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

84885728578560 is a wasteful number, since it uses less digits than its factorization.

84885728578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 9633792000, while the sum is 81.

The spelling of 84885728578560 in words is "eighty-four trillion, eight hundred eighty-five billion, seven hundred twenty-eight million, five hundred seventy-eight thousand, five hundred sixty".