253264394880 has 480 divisors, whose sum is σ = 1020307553460. Its totient is φ = 57885843456.

The previous prime is 253264394869. The next prime is 253264394881. The reversal of 253264394880 is 88493462352.

253264394880 is a `hidden beast` number, since 2 + 532 + 64 + 3 + 9 + 48 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 242796649536 + 10467745344 = 492744^2 + 102312^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (253264394881) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13820604 + ... + 13838916.

Almost surely, 2^253264394880 is an apocalyptic number.

253264394880 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 253264394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510153776730).

253264394880 is an abundant number, since it is smaller than the sum of its proper divisors (767043158580).

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

253264394880 is an equidigital number, since it uses as much as digits as its factorization.

253264394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18366 (or 18330 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 253264394880 in words is "two hundred fifty-three billion, two hundred sixty-four million, three hundred ninety-four thousand, eight hundred eighty".