556970088528 has 480 divisors, whose sum is σ = 1923482246400. Its totient is φ = 146828427264.

The previous prime is 556970088491. The next prime is 556970088541. The reversal of 556970088528 is 825880079655.

556970088528 is a `hidden beast` number, since 556 + 9 + 70 + 0 + 8 + 8 + 5 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 599536768 + ... + 599537696.

It is an arithmetic number, because the mean of its divisors is an integer number (4007254680).

Almost surely, 2^556970088528 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 556970088528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961741123200).

556970088528 is an abundant number, since it is smaller than the sum of its proper divisors (1366512157872).

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

556970088528 is a wasteful number, since it uses less digits than its factorization.

556970088528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 556970088528 in words is "five hundred fifty-six billion, nine hundred seventy million, eighty-eight thousand, five hundred twenty-eight".