5161685760 has 972 divisors, whose sum is σ = 23452128336. Its totient is φ = 1025925120.

The previous prime is 5161685713. The next prime is 5161685791. The reversal of 5161685760 is 675861615.

5161685760 is a `hidden beast` number, since 5 + 16 + 1 + 68 + 576 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 224421109 + ... + 224421131.

Almost surely, 2^5161685760 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 5161685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726064168).

5161685760 is an abundant number, since it is smaller than the sum of its proper divisors (18290442576).

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

5161685760 is a wasteful number, since it uses less digits than its factorization.

5161685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5161685760 is about 71844.8728859617. The cubic root of 5161685760 is about 1728.2126795840.

The spelling of 5161685760 in words is "five billion, one hundred sixty-one million, six hundred eighty-five thousand, seven hundred sixty".