5139165600 has 216 divisors, whose sum is σ = 19076279040. Its totient is φ = 1298280960.

The previous prime is 5139165589. The next prime is 5139165601. The reversal of 5139165600 is 65619315.

5139165600 is a `hidden beast` number, since 5 + 1 + 3 + 91 + 6 + 560 + 0 = 666.

It is a super-2 number, since 2×5139165600² = 52822046128446720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5139165601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118017 + ... + 155583.

Almost surely, 2^5139165600 is an apocalyptic number.

5139165600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5139165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9538139520).

5139165600 is an abundant number, since it is smaller than the sum of its proper divisors (13937113440).

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

5139165600 is a wasteful number, since it uses less digits than its factorization.

5139165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37612 (or 37596 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 5139165600 is about 71687.9738868382. The cubic root of 5139165600 is about 1725.6956488513.

The spelling of 5139165600 in words is "five billion, one hundred thirty-nine million, one hundred sixty-five thousand, six hundred".