5209869672 has 256 divisors, whose sum is σ = 17495654400. Its totient is φ = 1404864000.

The previous prime is 5209869659. The next prime is 5209869689. The reversal of 5209869672 is 2769689025.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1920397 + ... + 1923107.

It is an arithmetic number, because the mean of its divisors is an integer number (68342400).

Almost surely, 2^5209869672 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 5209869672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8747827200).

5209869672 is an abundant number, since it is smaller than the sum of its proper divisors (12285784728).

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

5209869672 is a wasteful number, since it uses less digits than its factorization.

5209869672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 5209869672 is about 72179.4269303934. The cubic root of 5209869672 is about 1733.5736071586.

The spelling of 5209869672 in words is "five billion, two hundred nine million, eight hundred sixty-nine thousand, six hundred seventy-two".