253993600000 has 1056 divisors, whose sum is σ = 828981941760. Its totient is φ = 75694080000.

The previous prime is 253993599953. The next prime is 253993600037. The reversal of 253993600000 is 6399352.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8758399986 + ... + 8758400014.

Almost surely, 2^253993600000 is an apocalyptic number.

253993600000 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 253993600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414490970880).

253993600000 is an abundant number, since it is smaller than the sum of its proper divisors (574988341760).

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

253993600000 is an equidigital number, since it uses as much as digits as its factorization.

253993600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 37.

Adding to 253993600000 its reverse (6399352), we get a palindrome (253999999352).

The spelling of 253993600000 in words is "two hundred fifty-three billion, nine hundred ninety-three million, six hundred thousand".