56419614720 has 544 divisors, whose sum is σ = 229510563840. Its totient is φ = 12881756160.

The previous prime is 56419614697. The next prime is 56419614743. The reversal of 56419614720 is 2741691465.

56419614720 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 9 + 614 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (56419614697) and next prime (56419614743).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61931065 + ... + 61931975.

Almost surely, 2^56419614720 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 56419614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114755281920).

56419614720 is an abundant number, since it is smaller than the sum of its proper divisors (173090949120).

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

56419614720 is an frugal number, since it uses more digits than its factorization.

56419614720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 56419614720 in words is "fifty-six billion, four hundred nineteen million, six hundred fourteen thousand, seven hundred twenty".