253362682368 has 480 divisors, whose sum is σ = 775023163200. Its totient is φ = 79589081088.

The previous prime is 253362682289. The next prime is 253362682369. The reversal of 253362682368 is 863286263352.

253362682368 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 626 + 8 + 2 + 3 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (253362682369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895274355 + ... + 895274637.

It is an arithmetic number, because the mean of its divisors is an integer number (1614631590).

Almost surely, 2^253362682368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253362682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387511581600).

253362682368 is an abundant number, since it is smaller than the sum of its proper divisors (521660480832).

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

253362682368 is a wasteful number, since it uses less digits than its factorization.

253362682368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 473 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 253362682368 in words is "two hundred fifty-three billion, three hundred sixty-two million, six hundred eighty-two thousand, three hundred sixty-eight".