5158869600 has 144 divisors (see below), whose sum is σ = 16815330000. Its totient is φ = 1373798400.

The previous prime is 5158869577. The next prime is 5158869643. The reversal of 5158869600 is 69688515.

It is a super-2 number, since 2×5158869600² = 53227871099608320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5158869600.

It is a congruent number.

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, 2996740 + ... + 2998460.

It is an arithmetic number, because the mean of its divisors is an integer number (116773125).

Almost surely, 2^5158869600 is an apocalyptic number.

5158869600 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 5158869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8407665000).

5158869600 is an abundant number, since it is smaller than the sum of its proper divisors (11656460400).

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

5158869600 is a wasteful number, since it uses less digits than its factorization.

5158869600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 5158869600 is about 71825.2713186661. The cubic root of 5158869600 is about 1727.8983243502.

The spelling of 5158869600 in words is "five billion, one hundred fifty-eight million, eight hundred sixty-nine thousand, six hundred".