25768571872680 has 512 divisors, whose sum is σ = 106107428044800. Its totient is φ = 5416817587200.

The previous prime is 25768571872669. The next prime is 25768571872817. The reversal of 25768571872680 is 8627817586752.

25768571872680 is a `hidden beast` number, since 25 + 7 + 6 + 8 + 571 + 8 + 7 + 26 + 8 + 0 = 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 = 25768571872599 and 25768571872608.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26150125 + ... + 27117635.

It is an arithmetic number, because the mean of its divisors is an integer number (207241070400).

Almost surely, 2^{25768571872680} is an apocalyptic number.

25768571872680 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 25768571872680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53053714022400).

25768571872680 is an abundant number, since it is smaller than the sum of its proper divisors (80338856172120).

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

25768571872680 is a wasteful number, since it uses less digits than its factorization.

25768571872680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967822 (or 967812 counting only the distinct ones).

The product of its (nonzero) digits is 632217600, while the sum is 72.

The spelling of 25768571872680 in words is "twenty-five trillion, seven hundred sixty-eight billion, five hundred seventy-one million, eight hundred seventy-two thousand, six hundred eighty".