5188135680 has 864 divisors, whose sum is σ = 22766889600. Its totient is φ = 1083801600.

The previous prime is 5188135669. The next prime is 5188135681. The reversal of 5188135680 is 865318815.

5188135680 is a `hidden beast` number, since 5 + 1 + 8 + 81 + 3 + 568 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5188135681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51367630 + ... + 51367730.

Almost surely, 2^5188135680 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 5188135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383444800).

5188135680 is an abundant number, since it is smaller than the sum of its proper divisors (17578753920).

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

5188135680 is a wasteful number, since it uses less digits than its factorization.

5188135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 5188135680 is about 72028.7142742393. The cubic root of 5188135680 is about 1731.1595998968.

It can be divided in two parts, 5188135 and 680, that added together give a palindrome (5188815).

The spelling of 5188135680 in words is "five billion, one hundred eighty-eight million, one hundred thirty-five thousand, six hundred eighty".