56460150720 has 336 divisors, whose sum is σ = 206352282240. Its totient is φ = 14128846848.

The previous prime is 56460150683. The next prime is 56460150757. The reversal of 56460150720 is 2705106465.

It is a happy number.

56460150720 is a `hidden beast` number, since 5 + 646 + 0 + 1 + 5 + 0 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56460150683) and next prime (56460150757).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5850219 + ... + 5859861.

Almost surely, 2^56460150720 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 56460150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103176141120).

56460150720 is an abundant number, since it is smaller than the sum of its proper divisors (149892131520).

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

56460150720 is a wasteful number, since it uses less digits than its factorization.

56460150720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9792 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 56460150720 in words is "fifty-six billion, four hundred sixty million, one hundred fifty thousand, seven hundred twenty".