253502400324000 has 768 divisors, whose sum is σ = 893770862100480. Its totient is φ = 62610726297600.

The previous prime is 253502400323993. The next prime is 253502400324011. The reversal of 253502400324000 is 423004205352.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10040879377 + ... + 10040904623.

It is an arithmetic number, because the mean of its divisors is an integer number (1163764143360).

Almost surely, 2^{253502400324000} is an apocalyptic number.

253502400324000 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 253502400324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446885431050240).

253502400324000 is an abundant number, since it is smaller than the sum of its proper divisors (640268461776480).

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

253502400324000 is a wasteful number, since it uses less digits than its factorization.

253502400324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26278 (or 26260 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 253502400324000 its reverse (423004205352), we get a palindrome (253925404529352).

The spelling of 253502400324000 in words is "two hundred fifty-three trillion, five hundred two billion, four hundred million, three hundred twenty-four thousand".