85990924800 has 1080 divisors, whose sum is σ = 350923372800. Its totient is φ = 20072448000.

The previous prime is 85990924771. The next prime is 85990924819. The reversal of 85990924800 is 842909958.

85990924800 is a `hidden beast` number, since 8 + 599 + 0 + 9 + 2 + 48 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 432115101 + ... + 432115299.

Almost surely, 2^85990924800 is an apocalyptic number.

85990924800 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 85990924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175461686400).

85990924800 is an abundant number, since it is smaller than the sum of its proper divisors (264932448000).

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

85990924800 is a wasteful number, since it uses less digits than its factorization.

85990924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 85990924800 in words is "eighty-five billion, nine hundred ninety million, nine hundred twenty-four thousand, eight hundred".