252522121440000 has 360 divisors, whose sum is σ = 868787168301360. Its totient is φ = 65017186304000.

The previous prime is 252522121439977. The next prime is 252522121440073. The reversal of 252522121440000 is 44121225252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 252522121440000.

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, 4849522 + ... + 22990478.

It is an arithmetic number, because the mean of its divisors is an integer number (2413297689726).

Almost surely, 2^{252522121440000} is an apocalyptic number.

252522121440000 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 252522121440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434393584150680).

252522121440000 is an abundant number, since it is smaller than the sum of its proper divisors (616265046861360).

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

252522121440000 is an equidigital number, since it uses as much as digits as its factorization.

252522121440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18141025 (or 18140996 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 252522121440000 its reverse (44121225252), we get a palindrome (252566242665252).

The spelling of 252522121440000 in words is "two hundred fifty-two trillion, five hundred twenty-two billion, one hundred twenty-one million, four hundred forty thousand".