56449768320 has 320 divisors, whose sum is σ = 219921110640. Its totient is φ = 13684654080.

The previous prime is 56449768301. The next prime is 56449768337. The reversal of 56449768320 is 2386794465.

56449768320 is a `hidden beast` number, since 5 + 64 + 497 + 68 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 520744 + ... + 619736.

Almost surely, 2^56449768320 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 56449768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109960555320).

56449768320 is an abundant number, since it is smaller than the sum of its proper divisors (163471342320).

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

56449768320 is a wasteful number, since it uses less digits than its factorization.

56449768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99035 (or 99014 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 56449768320 in words is "fifty-six billion, four hundred forty-nine million, seven hundred sixty-eight thousand, three hundred twenty".