25327271249280 has 3072 divisors, whose sum is σ = 120797284608000. Its totient is φ = 4818581913600.

The previous prime is 25327271249239. The next prime is 25327271249303. The reversal of 25327271249280 is 8294217272352.

25327271249280 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 7 + 2 + 71 + 2 + 492 + 80 = 666.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 44355991395 + ... + 44355991965.

It is an arithmetic number, because the mean of its divisors is an integer number (39322032750).

Almost surely, 2^{25327271249280} is an apocalyptic number.

25327271249280 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 25327271249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60398642304000).

25327271249280 is an abundant number, since it is smaller than the sum of its proper divisors (95470013358720).

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

25327271249280 is a wasteful number, since it uses less digits than its factorization.

25327271249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 25327271249280 in words is "twenty-five trillion, three hundred twenty-seven billion, two hundred seventy-one million, two hundred forty-nine thousand, two hundred eighty".