252159098880 has 1024 divisors, whose sum is σ = 958299955200. Its totient is φ = 56056872960.

The previous prime is 252159098837. The next prime is 252159098881. The reversal of 252159098880 is 88890951252.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×252159098880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 252159098880.

It is not an unprimeable number, because it can be changed into a prime (252159098881) 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, 3763568607 + ... + 3763568673.

It is an arithmetic number, because the mean of its divisors is an integer number (935839800).

Almost surely, 2^252159098880 is an apocalyptic number.

252159098880 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 252159098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479149977600).

252159098880 is an abundant number, since it is smaller than the sum of its proper divisors (706140856320).

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

252159098880 is a wasteful number, since it uses less digits than its factorization.

252159098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 57.

The spelling of 252159098880 in words is "two hundred fifty-two billion, one hundred fifty-nine million, ninety-eight thousand, eight hundred eighty".