5160624600 has 192 divisors, whose sum is σ = 16311456000. Its totient is φ = 1349470720.

The previous prime is 5160624589. The next prime is 5160624643. The reversal of 5160624600 is 64260615.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8615101 + ... + 8615699.

It is an arithmetic number, because the mean of its divisors is an integer number (84955500).

Almost surely, 2^5160624600 is an apocalyptic number.

5160624600 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 5160624600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155728000).

5160624600 is an abundant number, since it is smaller than the sum of its proper divisors (11150831400).

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

5160624600 is a wasteful number, since it uses less digits than its factorization.

5160624600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5160624600 is about 71837.4874282223. The cubic root of 5160624600 is about 1728.0942405093.

The spelling of 5160624600 in words is "five billion, one hundred sixty million, six hundred twenty-four thousand, six hundred".