253552638848 has 64 divisors (see below), whose sum is σ = 534953704320. Its totient is φ = 119454297600.

The previous prime is 253552638821. The next prime is 253552638863. The reversal of 253552638848 is 848836255352.

253552638848 is digitally balanced in base 3, 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 (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445478 + ... + 839973.

It is an arithmetic number, because the mean of its divisors is an integer number (8358651630).

Almost surely, 2^253552638848 is an apocalyptic number.

It is an amenable number.

253552638848 is an abundant number, since it is smaller than the sum of its proper divisors (281401065472).

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

253552638848 is a wasteful number, since it uses less digits than its factorization.

253552638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285555 (or 1285543 counting only the distinct ones).

The product of its digits is 55296000, while the sum is 59.

The spelling of 253552638848 in words is "two hundred fifty-three billion, five hundred fifty-two million, six hundred thirty-eight thousand, eight hundred forty-eight".