25976363638680 has 576 divisors, whose sum is σ = 104624937144000. Its totient is φ = 5472933433344.

The previous prime is 25976363638639. The next prime is 25976363638711. The reversal of 25976363638680 is 8683636367952.

25976363638680 is a `hidden beast` number, since 2 + 59 + 7 + 6 + 363 + 63 + 86 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 25976363638599 and 25976363638608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 301905906 + ... + 301991934.

It is an arithmetic number, because the mean of its divisors is an integer number (181640515875).

Almost surely, 2^{25976363638680} is an apocalyptic number.

25976363638680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25976363638680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52312468572000).

25976363638680 is an abundant number, since it is smaller than the sum of its proper divisors (78648573505320).

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

25976363638680 is a wasteful number, since it uses less digits than its factorization.

25976363638680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86788 (or 86768 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 25976363638680 in words is "twenty-five trillion, nine hundred seventy-six billion, three hundred sixty-three million, six hundred thirty-eight thousand, six hundred eighty".