5161675680 has 432 divisors, whose sum is σ = 20651065344. Its totient is φ = 1170570240.

The previous prime is 5161675661. The next prime is 5161675681. The reversal of 5161675680 is 865761615.

5161675680 is a `hidden beast` number, since 516 + 1 + 6 + 7 + 56 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5161675681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13476769 + ... + 13477151.

It is an arithmetic number, because the mean of its divisors is an integer number (47803392).

Almost surely, 2^5161675680 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 5161675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10325532672).

5161675680 is an abundant number, since it is smaller than the sum of its proper divisors (15489389664).

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

5161675680 is a wasteful number, since it uses less digits than its factorization.

5161675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 591 counting only the distinct ones).

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

The square root of 5161675680 is about 71844.8027347838. The cubic root of 5161675680 is about 1728.2115546030.

The spelling of 5161675680 in words is "five billion, one hundred sixty-one million, six hundred seventy-five thousand, six hundred eighty".