56462568652800 has 1428 divisors, whose sum is σ = 215250202092324. Its totient is φ = 14676708556800.

The previous prime is 56462568652747. The next prime is 56462568652871. The reversal of 56462568652800 is 825686526465.

56462568652800 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 2 + 568 + 65 + 2 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3990277914624 + 52472290738176 = 1997568^2 + 7243776^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 48970137024 + ... + 48970138176.

Almost surely, 2^{56462568652800} is an apocalyptic number.

56462568652800 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 56462568652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107625101046162).

56462568652800 is an abundant number, since it is smaller than the sum of its proper divisors (158787633439524).

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

56462568652800 is an frugal number, since it uses more digits than its factorization.

56462568652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 56462568652800 in words is "fifty-six trillion, four hundred sixty-two billion, five hundred sixty-eight million, six hundred fifty-two thousand, eight hundred".