56751834746880 has 1664 divisors, whose sum is σ = 253398348672000. Its totient is φ = 11973493260288.

The previous prime is 56751834746807. The next prime is 56751834746941. The reversal of 56751834746880 is 8864743815765.

56751834746880 is a `hidden beast` number, since 5 + 6 + 7 + 5 + 1 + 83 + 4 + 7 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×56751834746880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56751834746799 and 56751834746808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2465637132 + ... + 2465660148.

Almost surely, 2^{56751834746880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56751834746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126699174336000).

56751834746880 is an abundant number, since it is smaller than the sum of its proper divisors (196646513925120).

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

56751834746880 is a wasteful number, since it uses less digits than its factorization.

56751834746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23089 (or 23047 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 56751834746880 in words is "fifty-six trillion, seven hundred fifty-one billion, eight hundred thirty-four million, seven hundred forty-six thousand, eight hundred eighty".