5107188672 has 140 divisors (see below), whose sum is σ = 15225746536. Its totient is φ = 1692679680.

The previous prime is 5107188659. The next prime is 5107188689. The reversal of 5107188672 is 2768817015.

It is a happy number.

5107188672 is a `hidden beast` number, since 510 + 71 + 8 + 8 + 67 + 2 = 666.

It is a super-2 number, since 2×5107188672² = 52166752262810247168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 935583 + ... + 941025.

Almost surely, 2^5107188672 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 5107188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612873268).

5107188672 is an abundant number, since it is smaller than the sum of its proper divisors (10118557864).

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

5107188672 is a wasteful number, since it uses less digits than its factorization.

5107188672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648 (or 5629 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 5107188672 is about 71464.5973332251. The cubic root of 5107188672 is about 1722.1089904185.

The spelling of 5107188672 in words is "five billion, one hundred seven million, one hundred eighty-eight thousand, six hundred seventy-two".