253542230400 has 192 divisors, whose sum is σ = 835831570320. Its totient is φ = 67552419840.

The previous prime is 253542230393. The next prime is 253542230411. The reversal of 253542230400 is 4032245352.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 11633914 + ... + 11655686.

Almost surely, 2^253542230400 is an apocalyptic number.

253542230400 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 253542230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417915785160).

253542230400 is an abundant number, since it is smaller than the sum of its proper divisors (582289339920).

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

253542230400 is a wasteful number, since it uses less digits than its factorization.

253542230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23013 (or 22996 counting only the distinct ones).

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

Adding to 253542230400 its reverse (4032245352), we get a palindrome (257574475752).

The spelling of 253542230400 in words is "two hundred fifty-three billion, five hundred forty-two million, two hundred thirty thousand, four hundred".