253431503214400 has 168 divisors, whose sum is σ = 754608273961536. Its totient is φ = 81779577446400.

The previous prime is 253431503214371. The next prime is 253431503214433. The reversal of 253431503214400 is 4412305134352.

It is a self number, because there is not a number n which added to its sum of digits gives 253431503214400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665333506 + ... + 665714305.

Almost surely, 2^{253431503214400} is an apocalyptic number.

253431503214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253431503214400 is an abundant number, since it is smaller than the sum of its proper divisors (501176770747136).

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

253431503214400 is a wasteful number, since it uses less digits than its factorization.

253431503214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331047857 (or 1331047842 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 253431503214400 its reverse (4412305134352), we get a palindrome (257843808348752).

The spelling of 253431503214400 in words is "two hundred fifty-three trillion, four hundred thirty-one billion, five hundred three million, two hundred fourteen thousand, four hundred".