25259892000 has 1152 divisors, whose sum is σ = 107840678400. Its totient is φ = 5148057600.

The previous prime is 25259891959. The next prime is 25259892001. The reversal of 25259892000 is 29895252.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25259892001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1329467991 + ... + 1329468009.

It is an arithmetic number, because the mean of its divisors is an integer number (93611700).

Almost surely, 2^25259892000 is an apocalyptic number.

25259892000 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 25259892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53920339200).

25259892000 is an abundant number, since it is smaller than the sum of its proper divisors (82580786400).

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

25259892000 is a wasteful number, since it uses less digits than its factorization.

25259892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 25259892000 in words is "twenty-five billion, two hundred fifty-nine million, eight hundred ninety-two thousand".