25689666240 has 896 divisors, whose sum is σ = 108967219200. Its totient is φ = 5573836800.

The previous prime is 25689666193. The next prime is 25689666259. The reversal of 25689666240 is 4266698652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 170130165 + ... + 170130315.

It is an arithmetic number, because the mean of its divisors is an integer number (121615200).

Almost surely, 2^25689666240 is an apocalyptic number.

25689666240 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 25689666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54483609600).

25689666240 is an abundant number, since it is smaller than the sum of its proper divisors (83277552960).

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

25689666240 is a wasteful number, since it uses less digits than its factorization.

25689666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 25689666240 in words is "twenty-five billion, six hundred eighty-nine million, six hundred sixty-six thousand, two hundred forty".