5005138688 has 144 divisors (see below), whose sum is σ = 11572310400. Its totient is φ = 2136637440.

The previous prime is 5005138667. The next prime is 5005138693. The reversal of 5005138688 is 8868315005.

It is a super-2 number, since 2×5005138688² = 50102826572228722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7436720 + ... + 7437392.

Almost surely, 2^5005138688 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 5005138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786155200).

5005138688 is an abundant number, since it is smaller than the sum of its proper divisors (6567171712).

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

5005138688 is a wasteful number, since it uses less digits than its factorization.

5005138688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The square root of 5005138688 is about 70747.0047987899. The cubic root of 5005138688 is about 1710.5615482994.

The spelling of 5005138688 in words is "five billion, five million, one hundred thirty-eight thousand, six hundred eighty-eight".