556677969120 has 2304 divisors, whose sum is σ = 2619751680000. Its totient is φ = 111271200768.

The previous prime is 556677969097. The next prime is 556677969157. The reversal of 556677969120 is 21969776655.

556677969120 is a `hidden beast` number, since 5 + 566 + 7 + 7 + 9 + 69 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×556677969120² (a number of 24 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 29298840471 + ... + 29298840489.

It is an arithmetic number, because the mean of its divisors is an integer number (1137045000).

Almost surely, 2^556677969120 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 556677969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309875840000).

556677969120 is an abundant number, since it is smaller than the sum of its proper divisors (2063073710880).

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

556677969120 is an equidigital number, since it uses as much as digits as its factorization.

556677969120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 556677969120 in words is "five hundred fifty-six billion, six hundred seventy-seven million, nine hundred sixty-nine thousand, one hundred twenty".