25951000320 has 1008 divisors, whose sum is σ = 110989690560. Its totient is φ = 5685313536.

The previous prime is 25951000289. The next prime is 25951000343. The reversal of 25951000320 is 2300015952.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 189423292 + ... + 189423428.

It is an arithmetic number, because the mean of its divisors is an integer number (110108820).

Almost surely, 2^25951000320 is an apocalyptic number.

25951000320 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 25951000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55494845280).

25951000320 is an abundant number, since it is smaller than the sum of its proper divisors (85038690240).

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

25951000320 is an equidigital number, since it uses as much as digits as its factorization.

25951000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 25951000320 in words is "twenty-five billion, nine hundred fifty-one million, three hundred twenty", and thus it is an aban number.