253315302240000 has 2880 divisors, whose sum is σ = 1161795406464000. Its totient is φ = 47271444480000.

The previous prime is 253315302239941. The next prime is 253315302240019. The reversal of 253315302240000 is 42203513352.

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 253315302240000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 17777752876 + ... + 17777767124.

It is an arithmetic number, because the mean of its divisors is an integer number (403401182800).

Almost surely, 2^{253315302240000} is an apocalyptic number.

253315302240000 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 253315302240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580897703232000).

253315302240000 is an abundant number, since it is smaller than the sum of its proper divisors (908480104224000).

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

253315302240000 is a wasteful number, since it uses less digits than its factorization.

253315302240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14356 (or 14327 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 253315302240000 its reverse (42203513352), we get a palindrome (253357505753352).

The spelling of 253315302240000 in words is "two hundred fifty-three trillion, three hundred fifteen billion, three hundred two million, two hundred forty thousand".