253095110400 has 1296 divisors, whose sum is σ = 996659959680. Its totient is φ = 55996416000.

The previous prime is 253095110329. The next prime is 253095110417. The reversal of 253095110400 is 4011590352.

253095110400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5885932779 + ... + 5885932821.

Almost surely, 2^253095110400 is an apocalyptic number.

253095110400 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 253095110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498329979840).

253095110400 is an abundant number, since it is smaller than the sum of its proper divisors (743564849280).

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

253095110400 is a wasteful number, since it uses less digits than its factorization.

253095110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 253095110400 in words is "two hundred fifty-three billion, ninety-five million, one hundred ten thousand, four hundred".