25881683520 has 448 divisors, whose sum is σ = 105231200256. Its totient is φ = 5232107520.

The previous prime is 25881683479. The next prime is 25881683521. The reversal of 25881683520 is 2538618852.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25881683520.

It is not an unprimeable number, because it can be changed into a prime (25881683521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2730309 + ... + 2739771.

It is an arithmetic number, because the mean of its divisors is an integer number (234891072).

Almost surely, 2^25881683520 is an apocalyptic number.

25881683520 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 25881683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52615600128).

25881683520 is an abundant number, since it is smaller than the sum of its proper divisors (79349516736).

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

25881683520 is a wasteful number, since it uses less digits than its factorization.

25881683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 25881683520 in words is "twenty-five billion, eight hundred eighty-one million, six hundred eighty-three thousand, five hundred twenty".