25878194887680 has 2112 divisors, whose sum is σ = 99950405068800. Its totient is φ = 6170460291072.

The previous prime is 25878194887619. The next prime is 25878194887691. The reversal of 25878194887680 is 8678849187852.

25878194887680 is a `hidden beast` number, since 2 + 5 + 8 + 78 + 1 + 9 + 488 + 7 + 68 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25878194887680.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 173679160246 + ... + 173679160394.

It is an arithmetic number, because the mean of its divisors is an integer number (47325002400).

Almost surely, 2^{25878194887680} is an apocalyptic number.

25878194887680 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 25878194887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49975202534400).

25878194887680 is an abundant number, since it is smaller than the sum of its proper divisors (74072210181120).

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

25878194887680 is a wasteful number, since it uses less digits than its factorization.

25878194887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3468165120, while the sum is 81.

The spelling of 25878194887680 in words is "twenty-five trillion, eight hundred seventy-eight billion, one hundred ninety-four million, eight hundred eighty-seven thousand, six hundred eighty".