253732590720 has 2048 divisors, whose sum is σ = 1156239360000. Its totient is φ = 51920289792.

The previous prime is 253732590679. The next prime is 253732590751. The reversal of 253732590720 is 27095237352.

253732590720 is a `hidden beast` number, since 2 + 5 + 3 + 7 + 32 + 590 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5398565737 + ... + 5398565783.

It is an arithmetic number, because the mean of its divisors is an integer number (564570000).

Almost surely, 2^253732590720 is an apocalyptic number.

253732590720 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 253732590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578119680000).

253732590720 is an abundant number, since it is smaller than the sum of its proper divisors (902506769280).

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

253732590720 is an equidigital number, since it uses as much as digits as its factorization.

253732590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 253732590720 in words is "two hundred fifty-three billion, seven hundred thirty-two million, five hundred ninety thousand, seven hundred twenty".