5160629760 has 640 divisors, whose sum is σ = 20062715904. Its totient is φ = 1114767360.

The previous prime is 5160629741. The next prime is 5160629791. The reversal of 5160629760 is 679260615.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40634817 + ... + 40634943.

Almost surely, 2^5160629760 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 5160629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10031357952).

5160629760 is an abundant number, since it is smaller than the sum of its proper divisors (14902086144).

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

5160629760 is a wasteful number, since it uses less digits than its factorization.

5160629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 5160629760 is about 71837.5233426097. The cubic root of 5160629760 is about 1728.0948164708.

The spelling of 5160629760 in words is "five billion, one hundred sixty million, six hundred twenty-nine thousand, seven hundred sixty".