85636801128960 has 1920 divisors, whose sum is σ = 325866848186880. Its totient is φ = 20725471641600.

The previous prime is 85636801128887. The next prime is 85636801128971. The reversal of 85636801128960 is 6982110863658.

85636801128960 is a `hidden beast` number, since 8 + 563 + 6 + 8 + 0 + 1 + 1 + 2 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129556431030 + ... + 129556431690.

It is an arithmetic number, because the mean of its divisors is an integer number (169722316764).

Almost surely, 2^{85636801128960} is an apocalyptic number.

85636801128960 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 85636801128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162933424093440).

85636801128960 is an abundant number, since it is smaller than the sum of its proper divisors (240230047057920).

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

85636801128960 is a wasteful number, since it uses less digits than its factorization.

85636801128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 85636801128960 in words is "eighty-five trillion, six hundred thirty-six billion, eight hundred one million, one hundred twenty-eight thousand, nine hundred sixty".