253679124336 has 80 divisors (see below), whose sum is σ = 723527441280. Its totient is φ = 75946274560.

The previous prime is 253679124299. The next prime is 253679124407. The reversal of 253679124336 is 633421976352.

253679124336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2850471 + ... + 2938118.

It is an arithmetic number, because the mean of its divisors is an integer number (9044093016).

Almost surely, 2^253679124336 is an apocalyptic number.

It is an amenable number.

253679124336 is an abundant number, since it is smaller than the sum of its proper divisors (469848316944).

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

253679124336 is a wasteful number, since it uses less digits than its factorization.

253679124336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788694 (or 5788688 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 51.

It can be divided in two parts, 253679 and 124336, that added together give a triangular number (378015 = T₈₆₉).

The spelling of 253679124336 in words is "two hundred fifty-three billion, six hundred seventy-nine million, one hundred twenty-four thousand, three hundred thirty-six".