556681310718624 has 960 divisors, whose sum is σ = 2043020398003200. Its totient is φ = 144779728084992.

The previous prime is 556681310718587. The next prime is 556681310718677. The reversal of 556681310718624 is 426817013186655.

It is a happy number.

556681310718624 is a `hidden beast` number, since 5 + 5 + 66 + 81 + 310 + 7 + 186 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15447475134 + ... + 15447511170.

It is an arithmetic number, because the mean of its divisors is an integer number (2128146247920).

Almost surely, 2^{556681310718624} is an apocalyptic number.

556681310718624 is a gapful number since it is divisible by the number (54) 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 556681310718624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021510199001600).

556681310718624 is an abundant number, since it is smaller than the sum of its proper divisors (1486339087284576).

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

556681310718624 is a wasteful number, since it uses less digits than its factorization.

556681310718624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36987 (or 36970 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 556681310718624 in words is "five hundred fifty-six trillion, six hundred eighty-one billion, three hundred ten million, seven hundred eighteen thousand, six hundred twenty-four".