25309834680312 has 256 divisors, whose sum is σ = 87323203968000. Its totient is φ = 6613881030144.

The previous prime is 25309834680307. The next prime is 25309834680313. The reversal of 25309834680312 is 21308643890352.

25309834680312 is a `hidden beast` number, since 2 + 530 + 9 + 8 + 34 + 68 + 0 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25309834680313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3764098 + ... + 8049105.

It is an arithmetic number, because the mean of its divisors is an integer number (341106265500).

Almost surely, 2^{25309834680312} is an apocalyptic number.

It is an amenable number.

25309834680312 is an abundant number, since it is smaller than the sum of its proper divisors (62013369287688).

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

25309834680312 is a wasteful number, since it uses less digits than its factorization.

25309834680312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11813347 (or 11813337 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 25309834680312 in words is "twenty-five trillion, three hundred nine billion, eight hundred thirty-four million, six hundred eighty thousand, three hundred twelve".