556612611856 has 320 divisors, whose sum is σ = 1349913600000. Its totient is φ = 217075562496.

The previous prime is 556612611851. The next prime is 556612611857. The reversal of 556612611856 is 658116216655.

It is a super-2 number, since 2×556612611856² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (556612611851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1594878370 + ... + 1594878718.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480000).

Almost surely, 2^556612611856 is an apocalyptic number.

556612611856 is a gapful number since it is divisible by the number (56) 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 556612611856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800000).

556612611856 is an abundant number, since it is smaller than the sum of its proper divisors (793300988144).

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

556612611856 is a wasteful number, since it uses less digits than its factorization.

556612611856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 52.

The spelling of 556612611856 in words is "five hundred fifty-six billion, six hundred twelve million, six hundred eleven thousand, eight hundred fifty-six".