5209665120 has 384 divisors, whose sum is σ = 20435950080. Its totient is φ = 1228400640.

The previous prime is 5209665101. The next prime is 5209665187. The reversal of 5209665120 is 215669025.

5209665120 is a `hidden beast` number, since 52 + 0 + 96 + 6 + 512 + 0 = 666.

It is a super-2 number, since 2×5209665120² = 54281221325089228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1756759 + ... + 1759721.

It is an arithmetic number, because the mean of its divisors is an integer number (53218620).

Almost surely, 2^5209665120 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 5209665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10217975040).

5209665120 is an abundant number, since it is smaller than the sum of its proper divisors (15226284960).

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

5209665120 is a wasteful number, since it uses less digits than its factorization.

5209665120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5209665120 is about 72178.0099476288. The cubic root of 5209665120 is about 1733.5509187734.

The spelling of 5209665120 in words is "five billion, two hundred nine million, six hundred sixty-five thousand, one hundred twenty".