556352112000 has 128 divisors (see below), whose sum is σ = 1844307410400. Its totient is φ = 148360550400.

The previous prime is 556352111999. The next prime is 556352112011. The reversal of 556352112000 is 211253655.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5747335 + ... + 5843334.

Almost surely, 2^556352112000 is an apocalyptic number.

556352112000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

556352112000 is an abundant number, since it is smaller than the sum of its proper divisors (1287955298400).

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

556352112000 is a wasteful number, since it uses less digits than its factorization.

556352112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11590701 (or 11590679 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 556352112000 its reverse (211253655), we get a palindrome (556563365655).

The spelling of 556352112000 in words is "five hundred fifty-six billion, three hundred fifty-two million, one hundred twelve thousand".