5129456688 has 120 divisors (see below), whose sum is σ = 15027966720. Its totient is φ = 1630189440.

The previous prime is 5129456677. The next prime is 5129456707. The reversal of 5129456688 is 8866549215.

5129456688 is a `hidden beast` number, since 5 + 129 + 456 + 68 + 8 = 666.

It is a super-2 number, since 2×5129456688² = 52622651828135858688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1093933 + ... + 1098611.

It is an arithmetic number, because the mean of its divisors is an integer number (125233056).

Almost surely, 2^5129456688 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 5129456688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7513983360).

5129456688 is an abundant number, since it is smaller than the sum of its proper divisors (9898510032).

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

5129456688 is a wasteful number, since it uses less digits than its factorization.

5129456688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5038 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 5129456688 is about 71620.2254115414. The cubic root of 5129456688 is about 1724.6082356709.

The spelling of 5129456688 in words is "five billion, one hundred twenty-nine million, four hundred fifty-six thousand, six hundred eighty-eight".