52309684224 has 520 divisors, whose sum is σ = 181708488720. Its totient is φ = 14869757952.

The previous prime is 52309684201. The next prime is 52309684243. The reversal of 52309684224 is 42248690325.

52309684224 is a `hidden beast` number, since 523 + 0 + 9 + 68 + 42 + 24 = 666.

It is a super-2 number, since 2×52309684224² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52309684224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265531294 + ... + 265531490.

Almost surely, 2^52309684224 is an apocalyptic number.

52309684224 is a gapful number since it is divisible by the number (54) 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 52309684224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90854244360).

52309684224 is an abundant number, since it is smaller than the sum of its proper divisors (129398804496).

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

52309684224 is an frugal number, since it uses more digits than its factorization.

52309684224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 52309684224 in words is "fifty-two billion, three hundred nine million, six hundred eighty-four thousand, two hundred twenty-four".