56659276800 has 1188 divisors, whose sum is σ = 249858130080. Its totient is φ = 11983749120.

The previous prime is 56659276799. The next prime is 56659276801. The reversal of 56659276800 is 867295665.

It is a happy number.

56659276800 is a `hidden beast` number, since 566 + 5 + 9 + 2 + 76 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56659276799) and next prime (56659276801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56659276801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1317657579 + ... + 1317657621.

Almost surely, 2^56659276800 is an apocalyptic number.

56659276800 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 56659276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124929065040).

56659276800 is an abundant number, since it is smaller than the sum of its proper divisors (193198853280).

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

56659276800 is a wasteful number, since it uses less digits than its factorization.

56659276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 56659276800 in words is "fifty-six billion, six hundred fifty-nine million, two hundred seventy-six thousand, eight hundred".