252202332040000 has 140 divisors (see below), whose sum is σ = 626261947105300. Its totient is φ = 100738635264000.

The previous prime is 252202332039997. The next prime is 252202332040013. The reversal of 252202332040000 is 40233202252.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 210311716528384 + 41890615511616 = 14502128^2 + 6472296^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23913556 + ... + 32806444.

Almost surely, 2^{252202332040000} is an apocalyptic number.

252202332040000 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 252202332040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313130973552650).

252202332040000 is an abundant number, since it is smaller than the sum of its proper divisors (374059615065300).

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

252202332040000 is an frugal number, since it uses more digits than its factorization.

252202332040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8893630 (or 8893605 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 252202332040000 its reverse (40233202252), we get a palindrome (252242565242252).

The spelling of 252202332040000 in words is "two hundred fifty-two trillion, two hundred two billion, three hundred thirty-two million, forty thousand".