5105157120 has 1056 divisors, whose sum is σ = 22991904000. Its totient is φ = 1040449536.

The previous prime is 5105157089. The next prime is 5105157131. The reversal of 5105157120 is 217515015.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268692471 + ... + 268692489.

Almost surely, 2^5105157120 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 5105157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11495952000).

5105157120 is an abundant number, since it is smaller than the sum of its proper divisors (17886746880).

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

5105157120 is a wasteful number, since it uses less digits than its factorization.

5105157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The square root of 5105157120 is about 71450.3822243100. The cubic root of 5105157120 is about 1721.8806183349.

The spelling of 5105157120 in words is "five billion, one hundred five million, one hundred fifty-seven thousand, one hundred twenty".