25955986999680 has 512 divisors, whose sum is σ = 93415768128000. Its totient is φ = 6809793306624.

The previous prime is 25955986999673. The next prime is 25955986999693. The reversal of 25955986999680 is 8699968955952.

25955986999680 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 598 + 6 + 9 + 9 + 9 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×25955986999680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 957453966 + ... + 957481074.

It is an arithmetic number, because the mean of its divisors is an integer number (182452672125).

Almost surely, 2^{25955986999680} is an apocalyptic number.

25955986999680 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 25955986999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46707884064000).

25955986999680 is an abundant number, since it is smaller than the sum of its proper divisors (67459781128320).

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

25955986999680 is a wasteful number, since it uses less digits than its factorization.

25955986999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28031 (or 28013 counting only the distinct ones).

The product of its (nonzero) digits is 34012224000, while the sum is 90.

The spelling of 25955986999680 in words is "twenty-five trillion, nine hundred fifty-five billion, nine hundred eighty-six million, nine hundred ninety-nine thousand, six hundred eighty".