56453760000 has 1155 divisors, whose sum is σ = 232402437883. Its totient is φ = 13685760000.

The previous prime is 56453759959. The next prime is 56453760071. The reversal of 56453760000 is 6735465.

The square root of 56453760000 is 237600.

It is a perfect power (a square), and thus also a powerful number.

56453760000 is a `hidden beast` number, since 5 + 6 + 45 + 3 + 7 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4425974784 + 52027785216 = 66528^2 + 228096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 5132159995 + ... + 5132160005.

Almost surely, 2^56453760000 is an apocalyptic number.

56453760000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56453760000 is the 237600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56453760000

56453760000 is an abundant number, since it is smaller than the sum of its proper divisors (175948677883).

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

56453760000 is an frugal number, since it uses more digits than its factorization.

56453760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Multiplying 56453760000 by its sum of digits (36), we get a square (2032335360000 = 1425600²).

56453760000 divided by its sum of digits (36) gives a square (1568160000 = 39600²).

The spelling of 56453760000 in words is "fifty-six billion, four hundred fifty-three million, seven hundred sixty thousand".