25641276480000 has 1200 divisors, whose sum is σ = 94226500368000. Its totient is φ = 6709248000000.

The previous prime is 25641276479999. The next prime is 25641276480089. The reversal of 25641276480000 is 8467214652.

25641276480000 is a `hidden beast` number, since 2 + 564 + 1 + 2 + 7 + 6 + 4 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 57107519776 + ... + 57107520224.

It is an arithmetic number, because the mean of its divisors is an integer number (78522083640).

Almost surely, 2^{25641276480000} is an apocalyptic number.

25641276480000 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 25641276480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47113250184000).

25641276480000 is an abundant number, since it is smaller than the sum of its proper divisors (68585223888000).

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

25641276480000 is an equidigital number, since it uses as much as digits as its factorization.

25641276480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 25641276480000 in words is "twenty-five trillion, six hundred forty-one billion, two hundred seventy-six million, four hundred eighty thousand".