816057590400 has 1536 divisors, whose sum is σ = 3467778048000. Its totient is φ = 185761382400.

The previous prime is 816057590323. The next prime is 816057590501. The reversal of 816057590400 is 4095750618.

816057590400 is a `hidden beast` number, since 8 + 1 + 6 + 0 + 57 + 590 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 800841091 + ... + 800842109.

It is an arithmetic number, because the mean of its divisors is an integer number (2257668000).

Almost surely, 2^816057590400 is an apocalyptic number.

816057590400 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 816057590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733889024000).

816057590400 is an abundant number, since it is smaller than the sum of its proper divisors (2651720457600).

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

816057590400 is a wasteful number, since it uses less digits than its factorization.

816057590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 816057590400 in words is "eight hundred sixteen billion, fifty-seven million, five hundred ninety thousand, four hundred".