5160291840 has 480 divisors, whose sum is σ = 20180270880. Its totient is φ = 1248952320.

The previous prime is 5160291803. The next prime is 5160291847. The reversal of 5160291840 is 481920615.

5160291840 is a `hidden beast` number, since 5 + 1 + 602 + 9 + 1 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5160291840² = 53257223747941171200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5160291795 and 5160291804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5160291847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8363212 + ... + 8363828.

It is an arithmetic number, because the mean of its divisors is an integer number (42042231).

Almost surely, 2^5160291840 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 5160291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090135440).

5160291840 is an abundant number, since it is smaller than the sum of its proper divisors (15019979040).

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

5160291840 is a wasteful number, since it uses less digits than its factorization.

5160291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5160291840 is about 71835.1713299272. The cubic root of 5160291840 is about 1728.0570968788.

The spelling of 5160291840 in words is "five billion, one hundred sixty million, two hundred ninety-one thousand, eight hundred forty".