5160410640 has 1280 divisors, whose sum is σ = 24684134400. Its totient is φ = 958003200.

The previous prime is 5160410627. The next prime is 5160410641. The reversal of 5160410640 is 460140615.

5160410640 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 4 + 10 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5160410641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 72681805 + ... + 72681875.

It is an arithmetic number, because the mean of its divisors is an integer number (19284480).

Almost surely, 2^5160410640 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 5160410640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342067200).

5160410640 is an abundant number, since it is smaller than the sum of its proper divisors (19523723760).

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

5160410640 is a wasteful number, since it uses less digits than its factorization.

5160410640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5160410640 is about 71835.9982181636. The cubic root of 5160410640 is about 1728.0703578606.

The spelling of 5160410640 in words is "five billion, one hundred sixty million, four hundred ten thousand, six hundred forty".