25884079562880 has 2048 divisors, whose sum is σ = 118283850547200. Its totient is φ = 5197038796800.

The previous prime is 25884079562843. The next prime is 25884079562893. The reversal of 25884079562880 is 8826597048852.

It is a happy number.

25884079562880 is a `hidden beast` number, since 2 + 5 + 88 + 407 + 9 + 5 + 62 + 8 + 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 = 25884079562799 and 25884079562808.

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 255 ways as a sum of consecutive naturals, for example, 39638712634 + ... + 39638713286.

It is an arithmetic number, because the mean of its divisors is an integer number (57755786400).

Almost surely, 2^{25884079562880} is an apocalyptic number.

25884079562880 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 25884079562880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59141925273600).

25884079562880 is an abundant number, since it is smaller than the sum of its proper divisors (92399770984320).

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

25884079562880 is an equidigital number, since it uses as much as digits as its factorization.

25884079562880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 25884079562880 in words is "twenty-five trillion, eight hundred eighty-four billion, seventy-nine million, five hundred sixty-two thousand, eight hundred eighty".