253943091072 has 144 divisors (see below), whose sum is σ = 803218983840. Its totient is φ = 76952409600.

The previous prime is 253943091041. The next prime is 253943091091. The reversal of 253943091072 is 270190349352.

253943091072 is a `hidden beast` number, since 2 + 539 + 4 + 3 + 0 + 9 + 107 + 2 = 666.

253943091072 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 (144).

It is a super-2 number, since 2×253943091072² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 771504 + ... + 1050287.

It is an arithmetic number, because the mean of its divisors is an integer number (5577909610).

Almost surely, 2^253943091072 is an apocalyptic number.

253943091072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253943091072 is an abundant number, since it is smaller than the sum of its proper divisors (549275892768).

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

253943091072 is a wasteful number, since it uses less digits than its factorization.

253943091072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821833 (or 1821807 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 253943091072 in words is "two hundred fifty-three billion, nine hundred forty-three million, ninety-one thousand, seventy-two".