253739782656 has 320 divisors, whose sum is σ = 803539820160. Its totient is φ = 78776893440.

The previous prime is 253739782643. The next prime is 253739782679. The reversal of 253739782656 is 656287937352.

It is a happy number.

253739782656 is a `hidden beast` number, since 2 + 537 + 3 + 9 + 78 + 26 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 253739782593 and 253739782602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22790211 + ... + 22801341.

It is an arithmetic number, because the mean of its divisors is an integer number (2511061938).

Almost surely, 2^253739782656 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 253739782656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401769910080).

253739782656 is an abundant number, since it is smaller than the sum of its proper divisors (549800037504).

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

253739782656 is a wasteful number, since it uses less digits than its factorization.

253739782656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272 (or 11250 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 253739782656 in words is "two hundred fifty-three billion, seven hundred thirty-nine million, seven hundred eighty-two thousand, six hundred fifty-six".