253904638680 has 768 divisors, whose sum is σ = 1069915392000. Its totient is φ = 51749268480.

The previous prime is 253904638667. The next prime is 253904638717. The reversal of 253904638680 is 86836409352.

253904638680 is a `hidden beast` number, since 2 + 539 + 0 + 46 + 3 + 8 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71987077 + ... + 71990603.

It is an arithmetic number, because the mean of its divisors is an integer number (1393119000).

Almost surely, 2^253904638680 is an apocalyptic number.

253904638680 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 253904638680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534957696000).

253904638680 is an abundant number, since it is smaller than the sum of its proper divisors (816010753320).

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

253904638680 is a wasteful number, since it uses less digits than its factorization.

253904638680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 253904638680 in words is "two hundred fifty-three billion, nine hundred four million, six hundred thirty-eight thousand, six hundred eighty".