556873664256 has 1152 divisors, whose sum is σ = 2259794073600. Its totient is φ = 130905538560.

The previous prime is 556873664251. The next prime is 556873664287. The reversal of 556873664256 is 652466378655.

556873664256 is a `hidden beast` number, since 5 + 568 + 7 + 3 + 6 + 64 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 556873664193 and 556873664202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556873664251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 203163046 + ... + 203165786.

It is an arithmetic number, because the mean of its divisors is an integer number (1961626800).

Almost surely, 2^556873664256 is an apocalyptic number.

556873664256 is a gapful number since it is divisible by the number (56) 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 556873664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129897036800).

556873664256 is an abundant number, since it is smaller than the sum of its proper divisors (1702920409344).

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

556873664256 is a wasteful number, since it uses less digits than its factorization.

556873664256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2802 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 63.

The spelling of 556873664256 in words is "five hundred fifty-six billion, eight hundred seventy-three million, six hundred sixty-four thousand, two hundred fifty-six".