253234400000 has 216 divisors, whose sum is σ = 634317994800. Its totient is φ = 100892160000.

The previous prime is 253234399841. The next prime is 253234400033. The reversal of 253234400000 is 4432352.

253234400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253234400000² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 279199547 + ... + 279200453.

Almost surely, 2^253234400000 is an apocalyptic number.

253234400000 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 253234400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317158997400).

253234400000 is an abundant number, since it is smaller than the sum of its proper divisors (381083594800).

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

253234400000 is an frugal number, since it uses more digits than its factorization.

253234400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

Adding to 253234400000 its reverse (4432352), we get a palindrome (253238832352).

The spelling of 253234400000 in words is "two hundred fifty-three billion, two hundred thirty-four million, four hundred thousand".