556012472400 has 1080 divisors, whose sum is σ = 2443383738432. Its totient is φ = 114691737600.

The previous prime is 556012472399. The next prime is 556012472573. The reversal of 556012472400 is 4274210655.

It is a happy number.

556012472400 is a `hidden beast` number, since 5 + 5 + 6 + 0 + 1 + 247 + 2 + 400 = 666.

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 215 ways as a sum of consecutive naturals, for example, 4058485132 + ... + 4058485268.

Almost surely, 2^556012472400 is an apocalyptic number.

556012472400 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 556012472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221691869216).

556012472400 is an abundant number, since it is smaller than the sum of its proper divisors (1887371266032).

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

556012472400 is a wasteful number, since it uses less digits than its factorization.

556012472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 556012472400 in words is "five hundred fifty-six billion, twelve million, four hundred seventy-two thousand, four hundred".