25798609226880 has 4096 divisors, whose sum is σ = 119237184000000. Its totient is φ = 5309413982208.

The previous prime is 25798609226879. The next prime is 25798609226903. The reversal of 25798609226880 is 8862290689752.

25798609226880 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 8 + 609 + 2 + 2 + 6 + 8 + 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 = 25798609226799 and 25798609226808.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 236684488266 + ... + 236684488374.

It is an arithmetic number, because the mean of its divisors is an integer number (29110640625).

Almost surely, 2^{25798609226880} is an apocalyptic number.

25798609226880 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 25798609226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59618592000000).

25798609226880 is an abundant number, since it is smaller than the sum of its proper divisors (93438574773120).

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

25798609226880 is an equidigital number, since it uses as much as digits as its factorization.

25798609226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 25798609226880 in words is "twenty-five trillion, seven hundred ninety-eight billion, six hundred nine million, two hundred twenty-six thousand, eight hundred eighty".