25811210880000 has 2640 divisors, whose sum is σ = 119663295687936. Its totient is φ = 5206671360000.

The previous prime is 25811210879989. The next prime is 25811210880019. The reversal of 25811210880000 is 8801211852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12055678930 + ... + 12055681070.

Almost surely, 2^{25811210880000} is an apocalyptic number.

25811210880000 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 25811210880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59831647843968).

25811210880000 is an abundant number, since it is smaller than the sum of its proper divisors (93852084807936).

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

25811210880000 is a wasteful number, since it uses less digits than its factorization.

25811210880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 25811210880000 in words is "twenty-five trillion, eight hundred eleven billion, two hundred ten million, eight hundred eighty thousand".