252233960160 has 1728 divisors, whose sum is σ = 1090137968640. Its totient is φ = 48709140480.

The previous prime is 252233960159. The next prime is 252233960179. The reversal of 252233960160 is 61069332252.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2834089396 + ... + 2834089484.

It is an arithmetic number, because the mean of its divisors is an integer number (630866880).

Almost surely, 2^252233960160 is an apocalyptic number.

252233960160 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 252233960160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545068984320).

252233960160 is an abundant number, since it is smaller than the sum of its proper divisors (837904008480).

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

252233960160 is a wasteful number, since it uses less digits than its factorization.

252233960160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 252233960160 in words is "two hundred fifty-two billion, two hundred thirty-three million, nine hundred sixty thousand, one hundred sixty".