253452140400 has 120 divisors (see below), whose sum is σ = 812098124080. Its totient is φ = 67570053120.

The previous prime is 253452140377. The next prime is 253452140401. The reversal of 253452140400 is 4041254352.

253452140400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253452140401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5102886 + ... + 5152314.

Almost surely, 2^253452140400 is an apocalyptic number.

253452140400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253452140400 is an abundant number, since it is smaller than the sum of its proper divisors (558645983680).

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

253452140400 is a wasteful number, since it uses less digits than its factorization.

253452140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53723 (or 53712 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 253452140400 its reverse (4041254352), we get a palindrome (257493394752).

The spelling of 253452140400 in words is "two hundred fifty-three billion, four hundred fifty-two million, one hundred forty thousand, four hundred".