25285006656 has 1260 divisors, whose sum is σ = 102587633280. Its totient is φ = 6113802240.

The previous prime is 25285006577. The next prime is 25285006657. The reversal of 25285006656 is 65660058252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25285006657) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 815645361 + ... + 815645391.

Almost surely, 2^25285006656 is an apocalyptic number.

25285006656 is a gapful number since it is divisible by the number (26) 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 25285006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51293816640).

25285006656 is an abundant number, since it is smaller than the sum of its proper divisors (77302626624).

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

25285006656 is a wasteful number, since it uses less digits than its factorization.

25285006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 25285006656 in words is "twenty-five billion, two hundred eighty-five million, six thousand, six hundred fifty-six".