556738560000 has 900 divisors, whose sum is σ = 2299507322112. Its totient is φ = 127107072000.

The previous prime is 556738559983. The next prime is 556738560067. The reversal of 556738560000 is 65837655.

556738560000 is a `hidden beast` number, since 5 + 5 + 6 + 7 + 38 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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 59 ways as a sum of consecutive naturals, for example, 645119569 + ... + 645120431.

Almost surely, 2^556738560000 is an apocalyptic number.

556738560000 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 556738560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149753661056).

556738560000 is an abundant number, since it is smaller than the sum of its proper divisors (1742768762112).

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

556738560000 is an frugal number, since it uses more digits than its factorization.

556738560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 556738560000 in words is "five hundred fifty-six billion, seven hundred thirty-eight million, five hundred sixty thousand".