25732917000 has 512 divisors, whose sum is σ = 107961984000. Its totient is φ = 5535129600.

The previous prime is 25732916959. The next prime is 25732917071. The reversal of 25732917000 is 71923752.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3208996 + ... + 3217004.

It is an arithmetic number, because the mean of its divisors is an integer number (210863250).

Almost surely, 2^25732917000 is an apocalyptic number.

25732917000 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 25732917000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53980992000).

25732917000 is an abundant number, since it is smaller than the sum of its proper divisors (82229067000).

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

25732917000 is a wasteful number, since it uses less digits than its factorization.

25732917000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8063 (or 8043 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 25732917000 in words is "twenty-five billion, seven hundred thirty-two million, nine hundred seventeen thousand".