5209840272 has 320 divisors, whose sum is σ = 17062907904. Its totient is φ = 1333463040.

The previous prime is 5209840271. The next prime is 5209840289. The reversal of 5209840272 is 2720489025.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5209840272.

It is not an unprimeable number, because it can be changed into a prime (5209840271) 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, 33183618 + ... + 33183774.

Almost surely, 2^5209840272 is an apocalyptic number.

5209840272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5209840272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8531453952).

5209840272 is an abundant number, since it is smaller than the sum of its proper divisors (11853067632).

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

5209840272 is a wasteful number, since it uses less digits than its factorization.

5209840272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 5209840272 is about 72179.2232709663. The cubic root of 5209840272 is about 1733.5703462223.

The spelling of 5209840272 in words is "five billion, two hundred nine million, eight hundred forty thousand, two hundred seventy-two".