56715705446400 has 7488 divisors, whose sum is σ = 297751096043520. Its totient is φ = 10405557043200.

The previous prime is 56715705446369. The next prime is 56715705446447. The reversal of 56715705446400 is 464450751765.

56715705446400 is a `hidden beast` number, since 5 + 6 + 7 + 1 + 57 + 0 + 544 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7488).

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 575 ways as a sum of consecutive naturals, for example, 2465900236789 + ... + 2465900236811.

Almost surely, 2^{56715705446400} is an apocalyptic number.

56715705446400 is a gapful number since it is divisible by the number (50) 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 56715705446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148875548021760).

56715705446400 is an abundant number, since it is smaller than the sum of its proper divisors (241035390597120).

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

56715705446400 is a wasteful number, since it uses less digits than its factorization.

56715705446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

It can be divided in two parts, 5671570 and 5446400, that added together give a triangular number (11117970 = T₄₇₁₅).

The spelling of 56715705446400 in words is "fifty-six trillion, seven hundred fifteen billion, seven hundred five million, four hundred forty-six thousand, four hundred".