25765126000 has 80 divisors (see below), whose sum is σ = 62498142720. Its totient is φ = 10273286400.

The previous prime is 25765125983. The next prime is 25765126003. The reversal of 25765126000 is 62156752.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25765126003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613681 + ... + 654319.

It is an arithmetic number, because the mean of its divisors is an integer number (781226784).

Almost surely, 2^25765126000 is an apocalyptic number.

25765126000 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 25765126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31249071360).

25765126000 is an abundant number, since it is smaller than the sum of its proper divisors (36733016720).

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

25765126000 is a wasteful number, since it uses less digits than its factorization.

25765126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40979 (or 40963 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 25765126000 in words is "twenty-five billion, seven hundred sixty-five million, one hundred twenty-six thousand".