85791444710400 has 7392 divisors, whose sum is σ = 416124372335616. Its totient is φ = 17199267840000.

The previous prime is 85791444710399. The next prime is 85791444710443. The reversal of 85791444710400 is 401744419758.

85791444710400 is a `hidden beast` number, since 8 + 5 + 7 + 91 + 4 + 447 + 104 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1406417126370 + ... + 1406417126430.

Almost surely, 2^{85791444710400} is an apocalyptic number.

85791444710400 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 85791444710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208062186167808).

85791444710400 is an abundant number, since it is smaller than the sum of its proper divisors (330332927625216).

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

85791444710400 is a wasteful number, since it uses less digits than its factorization.

85791444710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 85791444710400 in words is "eighty-five trillion, seven hundred ninety-one billion, four hundred forty-four million, seven hundred ten thousand, four hundred".