253968967200 has 288 divisors, whose sum is σ = 903553793856. Its totient is φ = 61581864960.

The previous prime is 253968967183. The next prime is 253968967247. The reversal of 253968967200 is 2769869352.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2029654 + ... + 2151146.

It is an arithmetic number, because the mean of its divisors is an integer number (3137339562).

Almost surely, 2^253968967200 is an apocalyptic number.

253968967200 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 253968967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451776896928).

253968967200 is an abundant number, since it is smaller than the sum of its proper divisors (649584826656).

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

253968967200 is a wasteful number, since it uses less digits than its factorization.

253968967200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121596 (or 121583 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 253968967200 in words is "two hundred fifty-three billion, nine hundred sixty-eight million, nine hundred sixty-seven thousand, two hundred".