5107556160 has 504 divisors, whose sum is σ = 21648374280. Its totient is φ = 1098252288.

The previous prime is 5107556149. The next prime is 5107556171. The reversal of 5107556160 is 616557015.

It is an interprime number because it is at equal distance from previous prime (5107556149) and next prime (5107556171).

It can be written as a sum of positive squares in 4 ways, for example, as 569108736 + 4538447424 = 23856^2 + 67368^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2397976 + ... + 2400104.

Almost surely, 2^5107556160 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 5107556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10824187140).

5107556160 is an abundant number, since it is smaller than the sum of its proper divisors (16540818120).

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

5107556160 is a wasteful number, since it uses less digits than its factorization.

5107556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 5107556160 is about 71467.1684061989. The cubic root of 5107556160 is about 1722.1502942388.

The spelling of 5107556160 in words is "five billion, one hundred seven million, five hundred fifty-six thousand, one hundred sixty".