253404332400000 has 1152 divisors, whose sum is σ = 898223742501120. Its totient is φ = 63279820800000.

The previous prime is 253404332399993. The next prime is 253404332400049. The reversal of 253404332400000 is 4233404352.

253404332400000 is digitally balanced in base 2 and base 4, because in such bases 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73174798269 + ... + 73174801731.

It is an arithmetic number, because the mean of its divisors is an integer number (779708109810).

Almost surely, 2^{253404332400000} is an apocalyptic number.

253404332400000 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 253404332400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449111871250560).

253404332400000 is an abundant number, since it is smaller than the sum of its proper divisors (644819410101120).

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

253404332400000 is an equidigital number, since it uses as much as digits as its factorization.

253404332400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 253404332400000 its reverse (4233404352), we get a palindrome (253408565804352).

The spelling of 253404332400000 in words is "two hundred fifty-three trillion, four hundred four billion, three hundred thirty-two million, four hundred thousand".