5115369600 has 576 divisors, whose sum is σ = 20293210080. Its totient is φ = 1216512000.

The previous prime is 5115369587. The next prime is 5115369619. The reversal of 5115369600 is 69635115.

5115369600 is a `hidden beast` number, since 5 + 1 + 15 + 36 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5115369600² = 52334012289208320000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21225480 + ... + 21225720.

Almost surely, 2^5115369600 is an apocalyptic number.

5115369600 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 5115369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146605040).

5115369600 is an abundant number, since it is smaller than the sum of its proper divisors (15177840480).

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

5115369600 is a wasteful number, since it uses less digits than its factorization.

5115369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

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

The square root of 5115369600 is about 71521.8120575814. The cubic root of 5115369600 is about 1723.0280174829.

The spelling of 5115369600 in words is "five billion, one hundred fifteen million, three hundred sixty-nine thousand, six hundred".