5160608544 has 192 divisors, whose sum is σ = 17550812160. Its totient is φ = 1289364480.

The previous prime is 5160608521. The next prime is 5160608549. The reversal of 5160608544 is 4458060615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5160608549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150439 + ... + 181529.

It is an arithmetic number, because the mean of its divisors is an integer number (91410480).

Almost surely, 2^5160608544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5160608544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775406080).

5160608544 is an abundant number, since it is smaller than the sum of its proper divisors (12390203616).

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

5160608544 is a wasteful number, since it uses less digits than its factorization.

5160608544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31143 (or 31135 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 5160608544 is about 71837.3756758973. The cubic root of 5160608544 is about 1728.0924483289.

The spelling of 5160608544 in words is "five billion, one hundred sixty million, six hundred eight thousand, five hundred forty-four".