556971640560 has 640 divisors, whose sum is σ = 2152774713600. Its totient is φ = 131666411520.

The previous prime is 556971640559. The next prime is 556971640579. The reversal of 556971640560 is 65046179655.

556971640560 is a `hidden beast` number, since 5 + 5 + 6 + 9 + 71 + 6 + 4 + 0 + 560 = 666.

It is a super-2 number, since 2×556971640560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 556971640497 and 556971640506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43653702 + ... + 43666458.

It is an arithmetic number, because the mean of its divisors is an integer number (3363710490).

Almost surely, 2^556971640560 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 556971640560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076387356800).

556971640560 is an abundant number, since it is smaller than the sum of its proper divisors (1595803073040).

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

556971640560 is a wasteful number, since it uses less digits than its factorization.

556971640560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12866 (or 12854 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 556971640560 in words is "five hundred fifty-six billion, nine hundred seventy-one million, six hundred forty thousand, five hundred sixty".