56301416064 has 128 divisors (see below), whose sum is σ = 166297536000. Its totient is φ = 18752440320.

The previous prime is 56301416053. The next prime is 56301416123. The reversal of 56301416064 is 46061410365.

It is a happy number.

56301416064 is a `hidden beast` number, since 5 + 6 + 3 + 0 + 1 + 41 + 606 + 4 = 666.

56301416064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4967524 + ... + 4978844.

It is an arithmetic number, because the mean of its divisors is an integer number (1299199500).

Almost surely, 2^56301416064 is an apocalyptic number.

56301416064 is a gapful number since it is divisible by the number (54) 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 56301416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83148768000).

56301416064 is an abundant number, since it is smaller than the sum of its proper divisors (109996119936).

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

56301416064 is a wasteful number, since it uses less digits than its factorization.

56301416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12783 (or 12765 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 56301416064 in words is "fifty-six billion, three hundred one million, four hundred sixteen thousand, sixty-four".