556118798976 has 576 divisors, whose sum is σ = 1886356541160. Its totient is φ = 155784314880.

The previous prime is 556118798957. The next prime is 556118798981. The reversal of 556118798976 is 679897811655.

It can be written as a sum of positive squares in 4 ways, for example, as 530531597376 + 25587201600 = 728376^2 + 159960^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 244661776 + ... + 244664048.

Almost surely, 2^556118798976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556118798976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943178270580).

556118798976 is an abundant number, since it is smaller than the sum of its proper divisors (1330237742184).

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

556118798976 is a wasteful number, since it uses less digits than its factorization.

556118798976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2339 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 72.

The spelling of 556118798976 in words is "five hundred fifty-six billion, one hundred eighteen million, seven hundred ninety-eight thousand, nine hundred seventy-six".