253653708672 has 192 divisors, whose sum is σ = 898357256160. Its totient is φ = 66897653760.

The previous prime is 253653708653. The next prime is 253653708673. The reversal of 253653708672 is 276807356352.

It is a happy number.

253653708672 is a `hidden beast` number, since 2 + 5 + 36 + 537 + 0 + 8 + 6 + 72 = 666.

253653708672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253653708673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104979 + ... + 1314642.

Almost surely, 2^253653708672 is an apocalyptic number.

It is an amenable number.

253653708672 is an abundant number, since it is smaller than the sum of its proper divisors (644703547488).

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

253653708672 is a wasteful number, since it uses less digits than its factorization.

253653708672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419661 (or 2419646 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 253653708672 in words is "two hundred fifty-three billion, six hundred fifty-three million, seven hundred eight thousand, six hundred seventy-two".