25777313095680 has 896 divisors, whose sum is σ = 98241883637760. Its totient is φ = 6469217943552.

The previous prime is 25777313095661. The next prime is 25777313095733. The reversal of 25777313095680 is 8659031377752.

25777313095680 is a `hidden beast` number, since 2 + 5 + 7 + 7 + 7 + 31 + 30 + 9 + 568 + 0 = 666.

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, 1522843377 + ... + 1522860303.

Almost surely, 2^{25777313095680} is an apocalyptic number.

25777313095680 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 25777313095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49120941818880).

25777313095680 is an abundant number, since it is smaller than the sum of its proper divisors (72464570542080).

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

25777313095680 is an frugal number, since it uses more digits than its factorization.

25777313095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16996 (or 16954 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 25777313095680 in words is "twenty-five trillion, seven hundred seventy-seven billion, three hundred thirteen million, ninety-five thousand, six hundred eighty".