5160351041664 has 512 divisors, whose sum is σ = 18079757660160. Its totient is φ = 1266607964160.

The previous prime is 5160351041633. The next prime is 5160351041683. The reversal of 5160351041664 is 4661401530615.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29650579 + ... + 29824109.

It is an arithmetic number, because the mean of its divisors is an integer number (35312026680).

Almost surely, 2^{5160351041664} 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 5160351041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9039878830080).

5160351041664 is an abundant number, since it is smaller than the sum of its proper divisors (12919406618496).

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

5160351041664 is a wasteful number, since it uses less digits than its factorization.

5160351041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173628 (or 173616 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 5160351041664 in words is "five trillion, one hundred sixty billion, three hundred fifty-one million, forty-one thousand, six hundred sixty-four".