5162757120 has 264 divisors, whose sum is σ = 18016711440. Its totient is φ = 1366917120.

The previous prime is 5162757091. The next prime is 5162757151. The reversal of 5162757120 is 217572615.

5162757120 is a `hidden beast` number, since 5 + 1 + 62 + 7 + 571 + 20 = 666.

It is a super-2 number, since 2×5162757120² = 53308122160221388800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8340171 + ... + 8340789.

Almost surely, 2^5162757120 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 5162757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008355720).

5162757120 is an abundant number, since it is smaller than the sum of its proper divisors (12853954320).

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

5162757120 is a wasteful number, since it uses less digits than its factorization.

5162757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 5162757120 is about 71852.3285635198. The cubic root of 5162757120 is about 1728.3322406431.

The spelling of 5162757120 in words is "five billion, one hundred sixty-two million, seven hundred fifty-seven thousand, one hundred twenty".