5131687680 has 324 divisors, whose sum is σ = 20656169352. Its totient is φ = 1172828160.

The previous prime is 5131687669. The next prime is 5131687681. The reversal of 5131687680 is 867861315.

5131687680 is a `hidden beast` number, since 513 + 1 + 68 + 76 + 8 + 0 = 666.

It is a super-4 number, since 4×5131687680⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5131687681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 559935 + ... + 569025.

Almost surely, 2^5131687680 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 5131687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10328084676).

5131687680 is an abundant number, since it is smaller than the sum of its proper divisors (15524481672).

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

5131687680 is a wasteful number, since it uses less digits than its factorization.

5131687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9132 (or 9108 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5131687680 is about 71635.7988717931. The cubic root of 5131687680 is about 1724.8582315754.

The spelling of 5131687680 in words is "five billion, one hundred thirty-one million, six hundred eighty-seven thousand, six hundred eighty".