56429598720 has 1152 divisors, whose sum is σ = 225871027200. Its totient is φ = 11938037760.

The previous prime is 56429598713. The next prime is 56429598721. The reversal of 56429598720 is 2789592465.

It is a super-2 number, since 2×56429598720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56429598721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1200629737 + ... + 1200629783.

It is an arithmetic number, because the mean of its divisors is an integer number (196068600).

Almost surely, 2^56429598720 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 56429598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112935513600).

56429598720 is an abundant number, since it is smaller than the sum of its proper divisors (169441428480).

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

56429598720 is a wasteful number, since it uses less digits than its factorization.

56429598720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 56429598720 in words is "fifty-six billion, four hundred twenty-nine million, five hundred ninety-eight thousand, seven hundred twenty".