85922974684800 has 3456 divisors, whose sum is σ = 363715095744000. Its totient is φ = 19262251008000.

The previous prime is 85922974684787. The next prime is 85922974684819. The reversal of 85922974684800 is 848647922958.

85922974684800 is a `hidden beast` number, since 8 + 59 + 2 + 2 + 97 + 4 + 6 + 8 + 480 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 246197635026 + ... + 246197635374.

It is an arithmetic number, because the mean of its divisors is an integer number (105241636500).

Almost surely, 2^{85922974684800} is an apocalyptic number.

85922974684800 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 85922974684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181857547872000).

85922974684800 is an abundant number, since it is smaller than the sum of its proper divisors (277792121059200).

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

85922974684800 is a wasteful number, since it uses less digits than its factorization.

85922974684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 85922974684800 in words is "eighty-five trillion, nine hundred twenty-two billion, nine hundred seventy-four million, six hundred eighty-four thousand, eight hundred".