25965292058496 has 640 divisors, whose sum is σ = 93730993171200. Its totient is φ = 6965460615168.

The previous prime is 25965292058491. The next prime is 25965292058521. The reversal of 25965292058496 is 69485029256952.

25965292058496 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 529 + 2 + 0 + 5 + 8 + 4 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25965292058491) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 516933735 + ... + 516983961.

It is an arithmetic number, because the mean of its divisors is an integer number (146454676830).

Almost surely, 2^{25965292058496} 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 25965292058496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46865496585600).

25965292058496 is an abundant number, since it is smaller than the sum of its proper divisors (67765701112704).

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

25965292058496 is a wasteful number, since it uses less digits than its factorization.

25965292058496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50696 (or 50675 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 25965292058496 in words is "twenty-five trillion, nine hundred sixty-five billion, two hundred ninety-two million, fifty-eight thousand, four hundred ninety-six".