253338324000 has 768 divisors, whose sum is σ = 916013629440. Its totient is φ = 60963840000.

The previous prime is 253338323989. The next prime is 253338324011. The reversal of 253338324000 is 423833352.

It is an interprime number because it is at equal distance from previous prime (253338323989) and next prime (253338324011).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 515963755 + ... + 515964245.

It is an arithmetic number, because the mean of its divisors is an integer number (1192726080).

Almost surely, 2^253338324000 is an apocalyptic number.

253338324000 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 253338324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458006814720).

253338324000 is an abundant number, since it is smaller than the sum of its proper divisors (662675305440).

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

253338324000 is a wasteful number, since it uses less digits than its factorization.

253338324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 253338324000 in words is "two hundred fifty-three billion, three hundred thirty-eight million, three hundred twenty-four thousand".