556829126280 has 576 divisors, whose sum is σ = 2287477670400. Its totient is φ = 116684789760.

The previous prime is 556829126263. The next prime is 556829126297. The reversal of 556829126280 is 82621928655.

556829126280 is a `hidden beast` number, since 5 + 5 + 6 + 8 + 2 + 9 + 1 + 2 + 628 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (556829126263) and next prime (556829126297).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10363164 + ... + 10416756.

It is an arithmetic number, because the mean of its divisors is an integer number (3971315400).

Almost surely, 2^556829126280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556829126280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143738835200).

556829126280 is an abundant number, since it is smaller than the sum of its proper divisors (1730648544120).

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

556829126280 is a wasteful number, since it uses less digits than its factorization.

556829126280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53674 (or 53660 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 556829126280 in words is "five hundred fifty-six billion, eight hundred twenty-nine million, one hundred twenty-six thousand, two hundred eighty".