556621322400 has 432 divisors, whose sum is σ = 2305934598240. Its totient is φ = 124558387200.

The previous prime is 556621322347. The next prime is 556621322401. The reversal of 556621322400 is 4223126655.

556621322400 is a `hidden beast` number, since 5 + 5 + 6 + 621 + 3 + 2 + 24 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (556621322401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 759291 + ... + 1299909.

It is an arithmetic number, because the mean of its divisors is an integer number (5337811570).

Almost surely, 2^556621322400 is an apocalyptic number.

556621322400 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 556621322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152967299120).

556621322400 is an abundant number, since it is smaller than the sum of its proper divisors (1749313275840).

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

556621322400 is a wasteful number, since it uses less digits than its factorization.

556621322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540669 (or 540653 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 556621322400 in words is "five hundred fifty-six billion, six hundred twenty-one million, three hundred twenty-two thousand, four hundred".