252199758720 has 512 divisors, whose sum is σ = 994233461760. Its totient is φ = 52951449600.

The previous prime is 252199758719. The next prime is 252199758721. The reversal of 252199758720 is 27857991252.

It is an interprime number because it is at equal distance from previous prime (252199758719) and next prime (252199758721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252199758721) 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, 36862500 + ... + 36869340.

It is an arithmetic number, because the mean of its divisors is an integer number (1941862230).

Almost surely, 2^252199758720 is an apocalyptic number.

252199758720 is a gapful number since it is divisible by the number (20) 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 252199758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497116730880).

252199758720 is an abundant number, since it is smaller than the sum of its proper divisors (742033703040).

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

252199758720 is a wasteful number, since it uses less digits than its factorization.

252199758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 57.

The spelling of 252199758720 in words is "two hundred fifty-two billion, one hundred ninety-nine million, seven hundred fifty-eight thousand, seven hundred twenty".