5161957920 has 360 divisors, whose sum is σ = 20563586316. Its totient is φ = 1179085824.

The previous prime is 5161957897. The next prime is 5161957993. The reversal of 5161957920 is 297591615.

5161957920 is a `hidden beast` number, since 5 + 1 + 619 + 5 + 7 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5062037904 + 99920016 = 71148^2 + 9996^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3456694 + ... + 3458186.

Almost surely, 2^5161957920 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 5161957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281793158).

5161957920 is an abundant number, since it is smaller than the sum of its proper divisors (15401628396).

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

5161957920 is a wasteful number, since it uses less digits than its factorization.

5161957920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 5161957920 is about 71846.7669418743. The cubic root of 5161957920 is about 1728.2430535172.

The spelling of 5161957920 in words is "five billion, one hundred sixty-one million, nine hundred fifty-seven thousand, nine hundred twenty".