253655920000 has 160 divisors (see below), whose sum is σ = 721670803920. Its totient is φ = 86967552000.

The previous prime is 253655919989. The next prime is 253655920019. The reversal of 253655920000 is 29556352.

253655920000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 333522 + ... + 786478.

Almost surely, 2^253655920000 is an apocalyptic number.

253655920000 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 253655920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360835401960).

253655920000 is an abundant number, since it is smaller than the sum of its proper divisors (468014883920).

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

253655920000 is an frugal number, since it uses more digits than its factorization.

253655920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452998 (or 452971 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The spelling of 253655920000 in words is "two hundred fifty-three billion, six hundred fifty-five million, nine hundred twenty thousand".