556250688000 has 1920 divisors, whose sum is σ = 2473639534080. Its totient is φ = 117315993600.

The previous prime is 556250687953. The next prime is 556250688013. The reversal of 556250688000 is 886052655.

556250688000 is a `hidden beast` number, since 5 + 5 + 62 + 506 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 4060223932 + ... + 4060224068.

It is an arithmetic number, because the mean of its divisors is an integer number (1288353924).

Almost surely, 2^556250688000 is an apocalyptic number.

556250688000 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 556250688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236819767040).

556250688000 is an abundant number, since it is smaller than the sum of its proper divisors (1917388846080).

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

556250688000 is a wasteful number, since it uses less digits than its factorization.

556250688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 556250688000 in words is "five hundred fifty-six billion, two hundred fifty million, six hundred eighty-eight thousand".