56451012480 has 640 divisors, whose sum is σ = 218083140000. Its totient is φ = 13866909696.

The previous prime is 56451012469. The next prime is 56451012487. The reversal of 56451012480 is 8421015465.

It is a happy number.

56451012480 is a `hidden beast` number, since 5 + 6 + 451 + 0 + 124 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56451012487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36442746 + ... + 36444294.

Almost surely, 2^56451012480 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 56451012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109041570000).

56451012480 is an abundant number, since it is smaller than the sum of its proper divisors (161632127520).

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

56451012480 is a wasteful number, since it uses less digits than its factorization.

56451012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 56451012480 in words is "fifty-six billion, four hundred fifty-one million, twelve thousand, four hundred eighty".