556952872140 has 432 divisors, whose sum is σ = 2041683658560. Its totient is φ = 120369991680.

The previous prime is 556952872129. The next prime is 556952872153. The reversal of 556952872140 is 41278259655.

556952872140 is a `hidden beast` number, since 5 + 5 + 6 + 9 + 528 + 72 + 1 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 346147656 + ... + 346149264.

It is an arithmetic number, because the mean of its divisors is an integer number (4726119580).

Almost surely, 2^556952872140 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 556952872140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020841829280).

556952872140 is an abundant number, since it is smaller than the sum of its proper divisors (1484730786420).

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

556952872140 is a wasteful number, since it uses less digits than its factorization.

556952872140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 556952872140 in words is "five hundred fifty-six billion, nine hundred fifty-two million, eight hundred seventy-two thousand, one hundred forty".