5058009600 has 480 divisors, whose sum is σ = 19744260096. Its totient is φ = 1116979200.

The previous prime is 5058009587. The next prime is 5058009629. The reversal of 5058009600 is 69008505.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5058009600² = 51166922227384320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8332497 + ... + 8333103.

Almost surely, 2^5058009600 is an apocalyptic number.

5058009600 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 5058009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9872130048).

5058009600 is an abundant number, since it is smaller than the sum of its proper divisors (14686250496).

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

5058009600 is a wasteful number, since it uses less digits than its factorization.

5058009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5058009600 is about 71119.6850386727. The cubic root of 5058009600 is about 1716.5635371273.

The spelling of 5058009600 in words is "five billion, fifty-eight million, nine thousand, six hundred".