5170495680 has 1008 divisors, whose sum is σ = 22766365440. Its totient is φ = 1111283712.

The previous prime is 5170495679. The next prime is 5170495697. The reversal of 5170495680 is 865940715.

5170495680 is a `hidden beast` number, since 517 + 0 + 4 + 9 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87635491 + ... + 87635549.

It is an arithmetic number, because the mean of its divisors is an integer number (22585680).

Almost surely, 2^5170495680 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 5170495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383182720).

5170495680 is an abundant number, since it is smaller than the sum of its proper divisors (17595869760).

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

5170495680 is a wasteful number, since it uses less digits than its factorization.

5170495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

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

The square root of 5170495680 is about 71906.1588460961. The cubic root of 5170495680 is about 1729.1953534726.

It can be divided in two parts, 517049 and 5680, that added together give a square (522729 = 723²).

The spelling of 5170495680 in words is "five billion, one hundred seventy million, four hundred ninety-five thousand, six hundred eighty".