25693074432 has 264 divisors, whose sum is σ = 76890674952. Its totient is φ = 8257536000.

The previous prime is 25693074419. The next prime is 25693074469. The reversal of 25693074432 is 23447039652.

It can be written as a sum of positive squares in 4 ways, for example, as 2070614016 + 23622460416 = 45504^2 + 153696^2 .

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 23 ways as a sum of consecutive naturals, for example, 36651682 + ... + 36652382.

Almost surely, 2^25693074432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25693074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38445337476).

25693074432 is an abundant number, since it is smaller than the sum of its proper divisors (51197600520).

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

25693074432 is a wasteful number, since it uses less digits than its factorization.

25693074432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 25693074432 in words is "twenty-five billion, six hundred ninety-three million, seventy-four thousand, four hundred thirty-two".