253672869584736 has 1152 divisors, whose sum is σ = 883042371993600. Its totient is φ = 68961381350400.

The previous prime is 253672869584713. The next prime is 253672869584737. The reversal of 253672869584736 is 637485968276352.

253672869584736 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 7 + 28 + 6 + 9 + 584 + 7 + 3 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253672869584737) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161472226831 + ... + 161472228401.

It is an arithmetic number, because the mean of its divisors is an integer number (766529836800).

Almost surely, 2^{253672869584736} 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 253672869584736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441521185996800).

253672869584736 is an abundant number, since it is smaller than the sum of its proper divisors (629369502408864).

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

253672869584736 is a wasteful number, since it uses less digits than its factorization.

253672869584736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2468 counting only the distinct ones).

The product of its digits is 21946982400, while the sum is 81.

The spelling of 253672869584736 in words is "two hundred fifty-three trillion, six hundred seventy-two billion, eight hundred sixty-nine million, five hundred eighty-four thousand, seven hundred thirty-six".