56314974048480 has 2304 divisors, whose sum is σ = 235973202296832. Its totient is φ = 11961630720000.

The previous prime is 56314974048467. The next prime is 56314974048499. The reversal of 56314974048480 is 8484047941365.

56314974048480 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 4 + 9 + 74 + 0 + 484 + 80 = 666.

56314974048480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 219124412512 + ... + 219124412768.

It is an arithmetic number, because the mean of its divisors is an integer number (102418924608).

Almost surely, 2^{56314974048480} 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 56314974048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117986601148416).

56314974048480 is an abundant number, since it is smaller than the sum of its proper divisors (179658228248352).

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

56314974048480 is a wasteful number, since it uses less digits than its factorization.

56314974048480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 56314974048480 in words is "fifty-six trillion, three hundred fourteen billion, nine hundred seventy-four million, forty-eight thousand, four hundred eighty".