556234795757088 has 1152 divisors, whose sum is σ = 2121534478909440. Its totient is φ = 138456899665920.

The previous prime is 556234795757033. The next prime is 556234795757107. The reversal of 556234795757088 is 880757597432655.

556234795757088 is a `hidden beast` number, since 5 + 5 + 6 + 2 + 3 + 479 + 5 + 75 + 70 + 8 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 556234795756998 and 556234795757016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1246009570 + ... + 1246455902.

It is an arithmetic number, because the mean of its divisors is an integer number (1841609790720).

Almost surely, 2^{556234795757088} 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 556234795757088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060767239454720).

556234795757088 is an abundant number, since it is smaller than the sum of its proper divisors (1565299683152352).

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

556234795757088 is a wasteful number, since it uses less digits than its factorization.

556234795757088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446447 (or 446416 counting only the distinct ones).

The product of its (nonzero) digits is 17781120000, while the sum is 81.

The spelling of 556234795757088 in words is "five hundred fifty-six trillion, two hundred thirty-four billion, seven hundred ninety-five million, seven hundred fifty-seven thousand, eighty-eight".