253965196800 has 900 divisors, whose sum is σ = 1093622805000. Its totient is φ = 58037575680.

The previous prime is 253965196763. The next prime is 253965196829. The reversal of 253965196800 is 8691569352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-3 number, since 3×253965196800³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 50800701 + ... + 50805699.

It is an arithmetic number, because the mean of its divisors is an integer number (1215136450).

Almost surely, 2^253965196800 is an apocalyptic number.

253965196800 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 253965196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546811402500).

253965196800 is an abundant number, since it is smaller than the sum of its proper divisors (839657608200).

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

253965196800 is an equidigital number, since it uses as much as digits as its factorization.

253965196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 253965196800 in words is "two hundred fifty-three billion, nine hundred sixty-five million, one hundred ninety-six thousand, eight hundred".