25886421288 has 960 divisors, whose sum is σ = 99851136000. Its totient is φ = 6218311680.

The previous prime is 25886421269. The next prime is 25886421311. The reversal of 25886421288 is 88212468852.

25886421288 is a `hidden beast` number, since 2 + 588 + 6 + 42 + 12 + 8 + 8 = 666.

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 239 ways as a sum of consecutive naturals, for example, 835045833 + ... + 835045863.

It is an arithmetic number, because the mean of its divisors is an integer number (104011600).

Almost surely, 2^25886421288 is an apocalyptic number.

25886421288 is a gapful number since it is divisible by the number (28) 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 25886421288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49925568000).

25886421288 is an abundant number, since it is smaller than the sum of its proper divisors (73964714712).

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

25886421288 is a wasteful number, since it uses less digits than its factorization.

25886421288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 73 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 54.

The spelling of 25886421288 in words is "twenty-five billion, eight hundred eighty-six million, four hundred twenty-one thousand, two hundred eighty-eight".