5186417292 has 144 divisors (see below), whose sum is σ = 15682867200. Its totient is φ = 1413016704.

The previous prime is 5186417261. The next prime is 5186417311. The reversal of 5186417292 is 2927146815.

5186417292 is a `hidden beast` number, since 518 + 6 + 41 + 7 + 2 + 92 = 666.

It is a super-2 number, since 2×5186417292² = 53797848653513226528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2160709 + ... + 2163107.

It is an arithmetic number, because the mean of its divisors is an integer number (108908800).

Almost surely, 2^5186417292 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 5186417292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841433600).

5186417292 is an abundant number, since it is smaller than the sum of its proper divisors (10496449908).

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

5186417292 is a wasteful number, since it uses less digits than its factorization.

5186417292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2807 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5186417292 is about 72016.7847935466. The cubic root of 5186417292 is about 1730.9684501557.

The spelling of 5186417292 in words is "five billion, one hundred eighty-six million, four hundred seventeen thousand, two hundred ninety-two".