560091974400 has 864 divisors, whose sum is σ = 2379728798720. Its totient is φ = 126247403520.

The previous prime is 560091974399. The next prime is 560091974413. The reversal of 560091974400 is 4479190065.

560091974400 is a `hidden beast` number, since 56 + 0 + 0 + 9 + 197 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 88297629 + ... + 88303971.

Almost surely, 2^560091974400 is an apocalyptic number.

560091974400 is a gapful number since it is divisible by the number (50) 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 560091974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189864399360).

560091974400 is an abundant number, since it is smaller than the sum of its proper divisors (1819636824320).

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

560091974400 is a wasteful number, since it uses less digits than its factorization.

560091974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 560091974400 in words is "five hundred sixty billion, ninety-one million, nine hundred seventy-four thousand, four hundred".