556324025400 has 576 divisors, whose sum is σ = 2207262788640. Its totient is φ = 123793920000.

The previous prime is 556324025351. The next prime is 556324025449. The reversal of 556324025400 is 4520423655.

556324025400 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 240 + 2 + 5 + 400 = 666.

556324025400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (556324025351) and next prime (556324025449).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46583430 + ... + 46595370.

Almost surely, 2^556324025400 is an apocalyptic number.

556324025400 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 556324025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103631394320).

556324025400 is an abundant number, since it is smaller than the sum of its proper divisors (1650938763240).

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

556324025400 is a wasteful number, since it uses less digits than its factorization.

556324025400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12168 (or 12156 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 556324025400 in words is "five hundred fifty-six billion, three hundred twenty-four million, twenty-five thousand, four hundred".