556970803200 has 1368 divisors, whose sum is σ = 2434033854720. Its totient is φ = 118908518400.

The previous prime is 556970803177. The next prime is 556970803201. The reversal of 556970803200 is 2308079655.

It is a happy number.

556970803200 is a `hidden beast` number, since 5 + 569 + 7 + 0 + 80 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1368).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (556970803201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7844659165 + ... + 7844659235.

Almost surely, 2^556970803200 is an apocalyptic number.

556970803200 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 556970803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217016927360).

556970803200 is an abundant number, since it is smaller than the sum of its proper divisors (1877063051520).

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

556970803200 is an equidigital number, since it uses as much as digits as its factorization.

556970803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 556970803200 in words is "five hundred fifty-six billion, nine hundred seventy million, eight hundred three thousand, two hundred".