5005115280 has 320 divisors, whose sum is σ = 19798732800. Its totient is φ = 1149396480.

The previous prime is 5005115257. The next prime is 5005115281. The reversal of 5005115280 is 825115005.

5005115280 is a `hidden beast` number, since 500 + 5 + 1 + 152 + 8 + 0 = 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 (5005115281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445897 + ... + 456983.

It is an arithmetic number, because the mean of its divisors is an integer number (61871040).

Almost surely, 2^5005115280 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 5005115280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9899366400).

5005115280 is an abundant number, since it is smaller than the sum of its proper divisors (14793617520).

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

5005115280 is a wasteful number, since it uses less digits than its factorization.

5005115280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11139 (or 11127 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 5005115280 is about 70746.8393640310. The cubic root of 5005115280 is about 1710.5588816475.

The spelling of 5005115280 in words is "five billion, five million, one hundred fifteen thousand, two hundred eighty".