25532681690880 has 2016 divisors, whose sum is σ = 113499022694400. Its totient is φ = 5356496977920.

The previous prime is 25532681690863. The next prime is 25532681690933. The reversal of 25532681690880 is 8809618623552.

25532681690880 is a `hidden beast` number, since 2 + 5 + 532 + 6 + 8 + 1 + 6 + 90 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 16897869325 + ... + 16897870835.

It is an arithmetic number, because the mean of its divisors is an integer number (56299118400).

Almost surely, 2^{25532681690880} is an apocalyptic number.

25532681690880 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 25532681690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56749511347200).

25532681690880 is an abundant number, since it is smaller than the sum of its proper divisors (87966341003520).

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

25532681690880 is a wasteful number, since it uses less digits than its factorization.

25532681690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 25532681690880 in words is "twenty-five trillion, five hundred thirty-two billion, six hundred eighty-one million, six hundred ninety thousand, eight hundred eighty".