556313912000 has 448 divisors, whose sum is σ = 1759640343552. Its totient is φ = 169159680000.

The previous prime is 556313911969. The next prime is 556313912047. The reversal of 556313912000 is 219313655.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25244987 + ... + 25267013.

It is an arithmetic number, because the mean of its divisors is an integer number (3927768624).

Almost surely, 2^556313912000 is an apocalyptic number.

556313912000 is a gapful number since it is divisible by the number (50) 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 556313912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879820171776).

556313912000 is an abundant number, since it is smaller than the sum of its proper divisors (1203326431552).

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

556313912000 is a wasteful number, since it uses less digits than its factorization.

556313912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22113 (or 22093 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The spelling of 556313912000 in words is "five hundred fifty-six billion, three hundred thirteen million, nine hundred twelve thousand".