25861963000 has 192 divisors, whose sum is σ = 63148662720. Its totient is φ = 9911328000.

The previous prime is 25861962991. The next prime is 25861963009. The reversal of 25861963000 is 36916852.

It is an interprime number because it is at equal distance from previous prime (25861962991) and next prime (25861963009).

It is a super-2 number, since 2×25861963000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25861963009) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 131278902 + ... + 131279098.

It is an arithmetic number, because the mean of its divisors is an integer number (328899285).

Almost surely, 2^25861963000 is an apocalyptic number.

25861963000 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 25861963000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31574331360).

25861963000 is an abundant number, since it is smaller than the sum of its proper divisors (37286699720).

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

25861963000 is a wasteful number, since it uses less digits than its factorization.

25861963000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 25861963000 in words is "twenty-five billion, eight hundred sixty-one million, nine hundred sixty-three thousand".