25827711000 has 512 divisors, whose sum is σ = 100387123200. Its totient is φ = 5383065600.

The previous prime is 25827710999. The next prime is 25827711001. The reversal of 25827711000 is 11772852.

It is an interprime number because it is at equal distance from previous prime (25827710999) and next prime (25827711001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25827711001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24296469 + ... + 24297531.

It is an arithmetic number, because the mean of its divisors is an integer number (196068600).

Almost surely, 2^25827711000 is an apocalyptic number.

25827711000 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 25827711000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50193561600).

25827711000 is an abundant number, since it is smaller than the sum of its proper divisors (74559412200).

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

25827711000 is a wasteful number, since it uses less digits than its factorization.

25827711000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The spelling of 25827711000 in words is "twenty-five billion, eight hundred twenty-seven million, seven hundred eleven thousand".