253110414400 has 84 divisors (see below), whose sum is σ = 622909447092. Its totient is φ = 101227970560.

The previous prime is 253110414373. The next prime is 253110414439. The reversal of 253110414400 is 4414011352.

253110414400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 56180376576 + 196930037824 = 237024^2 + 443768^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 18029784 + ... + 18043816.

Almost surely, 2^253110414400 is an apocalyptic number.

253110414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253110414400 is an abundant number, since it is smaller than the sum of its proper divisors (369799032692).

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

253110414400 is a wasteful number, since it uses less digits than its factorization.

253110414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25328 (or 25313 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 253110414400 its reverse (4414011352), we get a palindrome (257524425752).

The spelling of 253110414400 in words is "two hundred fifty-three billion, one hundred ten million, four hundred fourteen thousand, four hundred".