5161075920 has 1440 divisors, whose sum is σ = 25268382720. Its totient is φ = 958003200.

The previous prime is 5161075897. The next prime is 5161075937. The reversal of 5161075920 is 295701615.

5161075920 is a `hidden beast` number, since 5 + 1 + 61 + 0 + 7 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 166486305 + ... + 166486335.

It is an arithmetic number, because the mean of its divisors is an integer number (17547488).

Almost surely, 2^5161075920 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 5161075920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12634191360).

5161075920 is an abundant number, since it is smaller than the sum of its proper divisors (20107306800).

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

5161075920 is a wasteful number, since it uses less digits than its factorization.

5161075920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 5161075920 is about 71840.6286164034. The cubic root of 5161075920 is about 1728.1446155975.

The spelling of 5161075920 in words is "five billion, one hundred sixty-one million, seventy-five thousand, nine hundred twenty".