556142630400 has 2160 divisors, whose sum is σ = 2487169404720. Its totient is φ = 122624409600.

The previous prime is 556142630389. The next prime is 556142630419. The reversal of 556142630400 is 4036241655.

556142630400 is a `hidden beast` number, since 5 + 5 + 6 + 14 + 2 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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, 6248793556 + ... + 6248793644.

It is an arithmetic number, because the mean of its divisors is an integer number (1151467317).

Almost surely, 2^556142630400 is an apocalyptic number.

556142630400 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 556142630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243584702360).

556142630400 is an abundant number, since it is smaller than the sum of its proper divisors (1931026774320).

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

556142630400 is an equidigital number, since it uses as much as digits as its factorization.

556142630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 147 counting only the distinct ones).

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

The spelling of 556142630400 in words is "five hundred fifty-six billion, one hundred forty-two million, six hundred thirty thousand, four hundred".