556158096000 has 1024 divisors, whose sum is σ = 2223046425600. Its totient is φ = 135851212800.

The previous prime is 556158095957. The next prime is 556158096029. The reversal of 556158096000 is 690851655.

It is a happy number.

556158096000 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 580 + 9 + 60 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 937871704 + ... + 937872296.

It is an arithmetic number, because the mean of its divisors is an integer number (2170943775).

Almost surely, 2^556158096000 is an apocalyptic number.

556158096000 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 556158096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111523212800).

556158096000 is an abundant number, since it is smaller than the sum of its proper divisors (1666888329600).

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

556158096000 is a wasteful number, since it uses less digits than its factorization.

556158096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 556158096000 in words is "five hundred fifty-six billion, one hundred fifty-eight million, ninety-six thousand".