556617664512 has 1152 divisors, whose sum is σ = 2087247052800. Its totient is φ = 143470559232.

The previous prime is 556617664487. The next prime is 556617664573. The reversal of 556617664512 is 215466716655.

556617664512 is a `hidden beast` number, since 5 + 5 + 6 + 61 + 7 + 6 + 64 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4382816193 + ... + 4382816319.

It is an arithmetic number, because the mean of its divisors is an integer number (1811846400).

Almost surely, 2^556617664512 is an apocalyptic number.

556617664512 is a gapful number since it is divisible by the number (52) 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 556617664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043623526400).

556617664512 is an abundant number, since it is smaller than the sum of its proper divisors (1530629388288).

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

556617664512 is a wasteful number, since it uses less digits than its factorization.

556617664512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 219 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 556617664512 in words is "five hundred fifty-six billion, six hundred seventeen million, six hundred sixty-four thousand, five hundred twelve".