5160758400 has 1152 divisors, whose sum is σ = 23358326400. Its totient is φ = 1107025920.

The previous prime is 5160758381. The next prime is 5160758401. The reversal of 5160758400 is 48570615.

5160758400 is a `hidden beast` number, since 5 + 1 + 607 + 5 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (5160758401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97372774 + ... + 97372826.

It is an arithmetic number, because the mean of its divisors is an integer number (20276325).

Almost surely, 2^5160758400 is an apocalyptic number.

5160758400 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 5160758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11679163200).

5160758400 is an abundant number, since it is smaller than the sum of its proper divisors (18197568000).

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

5160758400 is a wasteful number, since it uses less digits than its factorization.

5160758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5160758400 is about 71838.4186908370. The cubic root of 5160758400 is about 1728.1091752009.

The spelling of 5160758400 in words is "five billion, one hundred sixty million, seven hundred fifty-eight thousand, four hundred".