556256257600 has 84 divisors (see below), whose sum is σ = 1369545686100. Its totient is φ = 222371215360.

The previous prime is 556256257549. The next prime is 556256257619. The reversal of 556256257600 is 6752652655.

It can be written as a sum of positive squares in 6 ways, for example, as 204426962496 + 351829295104 = 452136^2 + 593152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2632686 + ... + 2836114.

Almost surely, 2^556256257600 is an apocalyptic number.

556256257600 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 556256257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684772843050).

556256257600 is an abundant number, since it is smaller than the sum of its proper divisors (813289428500).

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

556256257600 is a wasteful number, since it uses less digits than its factorization.

556256257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205160 (or 205145 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 49.

The spelling of 556256257600 in words is "five hundred fifty-six billion, two hundred fifty-six million, two hundred fifty-seven thousand, six hundred".