21742624735325 has 24 divisors (see below), whose sum is σ = 29301140622600. Its totient is φ = 15908788488960.

The previous prime is 21742624735253. The next prime is 21742624735333. The reversal of 21742624735325 is 52353742624712.

It can be written as a sum of positive squares in 12 ways, for example, as 10466816680516 + 11275808054809 = 3235246^2 + 3357947^2 .

It is not a de Polignac number, because 21742624735325 - 2¹² = 21742624731229 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306847070 + ... + 306917919.

It is an arithmetic number, because the mean of its divisors is an integer number (1220880859275).

Almost surely, 2^{21742624735325} is an apocalyptic number.

21742624735325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21742624735325 is a deficient number, since it is larger than the sum of its proper divisors (7558515887275).

21742624735325 is a wasteful number, since it uses less digits than its factorization.

21742624735325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613765121 (or 613765116 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 53.

The spelling of 21742624735325 in words is "twenty-one trillion, seven hundred forty-two billion, six hundred twenty-four million, seven hundred thirty-five thousand, three hundred twenty-five".