252079189120 has 128 divisors (see below), whose sum is σ = 657783866880. Its totient is φ = 91613184000.

The previous prime is 252079189067. The next prime is 252079189129. The reversal of 252079189120 is 21981970252.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (252079189129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13725864 + ... + 13744216.

It is an arithmetic number, because the mean of its divisors is an integer number (5138936460).

Almost surely, 2^252079189120 is an apocalyptic number.

252079189120 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 252079189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328891933440).

252079189120 is an abundant number, since it is smaller than the sum of its proper divisors (405704677760).

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

252079189120 is a wasteful number, since it uses less digits than its factorization.

252079189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20334 (or 20322 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 252079189120 in words is "two hundred fifty-two billion, seventy-nine million, one hundred eighty-nine thousand, one hundred twenty".