556611601600 has 84 divisors (see below), whose sum is σ = 1406629123744. Its totient is φ = 216627194880.

The previous prime is 556611601583. The next prime is 556611601619. The reversal of 556611601600 is 6106116655.

It is a super-3 number, since 3×556611601600³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 556611601600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4641912 + ... + 4760311.

Almost surely, 2^556611601600 is an apocalyptic number.

556611601600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

556611601600 is an abundant number, since it is smaller than the sum of its proper divisors (850017522144).

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

556611601600 is a wasteful number, since it uses less digits than its factorization.

556611601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9402282 (or 9402267 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 556611601600 in words is "five hundred fifty-six billion, six hundred eleven million, six hundred one thousand, six hundred".