556671981600 has 1296 divisors, whose sum is σ = 2367839073600. Its totient is φ = 125164984320.

The previous prime is 556671981581. The next prime is 556671981629. The reversal of 556671981600 is 6189176655.

556671981600 is a `hidden beast` number, since 5 + 566 + 7 + 19 + 8 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4004834331 + ... + 4004834469.

Almost surely, 2^556671981600 is an apocalyptic number.

556671981600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556671981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183919536800).

556671981600 is an abundant number, since it is smaller than the sum of its proper divisors (1811167092000).

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

556671981600 is a wasteful number, since it uses less digits than its factorization.

556671981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 556671981600 in words is "five hundred fifty-six billion, six hundred seventy-one million, nine hundred eighty-one thousand, six hundred".