56423727360 has 1728 divisors, whose sum is σ = 274809749760. Its totient is φ = 10776084480.

The previous prime is 56423727343. The next prime is 56423727389. The reversal of 56423727360 is 6372732465.

56423727360 is a `hidden beast` number, since 56 + 4 + 237 + 2 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×56423727360² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242161804 + ... + 242162036.

It is an arithmetic number, because the mean of its divisors is an integer number (159033420).

Almost surely, 2^56423727360 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 56423727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137404874880).

56423727360 is an abundant number, since it is smaller than the sum of its proper divisors (218386022400).

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

56423727360 is a wasteful number, since it uses less digits than its factorization.

56423727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 56423727360 in words is "fifty-six billion, four hundred twenty-three million, seven hundred twenty-seven thousand, three hundred sixty".