25808810880 has 128 divisors (see below), whose sum is σ = 83035082880. Its totient is φ = 6817974272.

The previous prime is 25808810861. The next prime is 25808810887. The reversal of 25808810880 is 8801880852.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×25808810880³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25808810887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142627 + ... + 268253.

It is an arithmetic number, because the mean of its divisors is an integer number (648711585).

Almost surely, 2^25808810880 is an apocalyptic number.

25808810880 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 25808810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41517541440).

25808810880 is an abundant number, since it is smaller than the sum of its proper divisors (57226272000).

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

25808810880 is a wasteful number, since it uses less digits than its factorization.

25808810880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125756 (or 125744 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 48.

The spelling of 25808810880 in words is "twenty-five billion, eight hundred eight million, eight hundred ten thousand, eight hundred eighty".