556150056000 has 896 divisors, whose sum is σ = 2300418551808. Its totient is φ = 115015680000.

The previous prime is 556150055971. The next prime is 556150056017. The reversal of 556150056000 is 650051655.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 127 ways as a sum of consecutive naturals, for example, 474935415 + ... + 474936585.

Almost surely, 2^556150056000 is an apocalyptic number.

556150056000 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 556150056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150209275904).

556150056000 is an abundant number, since it is smaller than the sum of its proper divisors (1744268495808).

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

556150056000 is a wasteful number, since it uses less digits than its factorization.

556150056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 556150056000 in words is "five hundred fifty-six billion, one hundred fifty million, fifty-six thousand".