56580453072 has 400 divisors, whose sum is σ = 193673312448. Its totient is φ = 15721205760.

The previous prime is 56580453053. The next prime is 56580453073. The reversal of 56580453072 is 27035408565.

56580453072 is a `hidden beast` number, since 56 + 5 + 80 + 453 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56580453073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30207528 + ... + 30209400.

Almost surely, 2^56580453072 is an apocalyptic number.

56580453072 is a gapful number since it is divisible by the number (52) 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 56580453072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96836656224).

56580453072 is an abundant number, since it is smaller than the sum of its proper divisors (137092859376).

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

56580453072 is a wasteful number, since it uses less digits than its factorization.

56580453072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 56580453072 in words is "fifty-six billion, five hundred eighty million, four hundred fifty-three thousand, seventy-two".