556691978880 has 320 divisors, whose sum is σ = 1989380321280. Its totient is φ = 148351703040.

The previous prime is 556691978873. The next prime is 556691978891. The reversal of 556691978880 is 88879196655.

556691978880 is a `hidden beast` number, since 556 + 69 + 1 + 9 + 7 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 556691978799 and 556691978808.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109431697 + ... + 109436783.

It is an arithmetic number, because the mean of its divisors is an integer number (6216813504).

Almost surely, 2^556691978880 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 556691978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994690160640).

556691978880 is an abundant number, since it is smaller than the sum of its proper divisors (1432688342400).

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

556691978880 is a wasteful number, since it uses less digits than its factorization.

556691978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7229 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 556691978880 in words is "five hundred fifty-six billion, six hundred ninety-one million, nine hundred seventy-eight thousand, eight hundred eighty".