5160384464256 has 640 divisors, whose sum is σ = 18170583552000. Its totient is φ = 1422637240320.

The previous prime is 5160384464159. The next prime is 5160384464267. The reversal of 5160384464256 is 6524644830615.

5160384464256 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 384 + 4 + 6 + 4 + 256 = 666.

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 79 ways as a sum of consecutive naturals, for example, 807695110 + ... + 807701498.

It is an arithmetic number, because the mean of its divisors is an integer number (28391536800).

Almost surely, 2^{5160384464256} is an apocalyptic number.

5160384464256 is a gapful number since it is divisible by the number (56) 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 5160384464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9085291776000).

5160384464256 is an abundant number, since it is smaller than the sum of its proper divisors (13010199087744).

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

5160384464256 is a wasteful number, since it uses less digits than its factorization.

5160384464256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 5160384464256 in words is "five trillion, one hundred sixty billion, three hundred eighty-four million, four hundred sixty-four thousand, two hundred fifty-six".