56758060800 has 540 divisors, whose sum is σ = 239855804496. Its totient is φ = 12972441600.

The previous prime is 56758060787. The next prime is 56758060823. The reversal of 56758060800 is 806085765.

56758060800 is a `hidden beast` number, since 5 + 6 + 7 + 580 + 60 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3620980 + ... + 3636620.

Almost surely, 2^56758060800 is an apocalyptic number.

56758060800 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 56758060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119927902248).

56758060800 is an abundant number, since it is smaller than the sum of its proper divisors (183097743696).

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

56758060800 is a wasteful number, since it uses less digits than its factorization.

56758060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15686 (or 15658 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

It can be divided in two parts, 567 and 58060800, that multiplied together give a square (32920473600 = 181440²).

The spelling of 56758060800 in words is "fifty-six billion, seven hundred fifty-eight million, sixty thousand, eight hundred".