25822881000 has 1536 divisors, whose sum is σ = 117747302400. Its totient is φ = 5150822400.

The previous prime is 25822880977. The next prime is 25822881001. The reversal of 25822881000 is 18822852.

It is a happy number.

It is a super-2 number, since 2×25822881000² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25822881001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 549422977 + ... + 549423023.

It is an arithmetic number, because the mean of its divisors is an integer number (76658400).

Almost surely, 2^25822881000 is an apocalyptic number.

25822881000 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 25822881000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58873651200).

25822881000 is an abundant number, since it is smaller than the sum of its proper divisors (91924421400).

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

25822881000 is a wasteful number, since it uses less digits than its factorization.

25822881000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 25822881000 in words is "twenty-five billion, eight hundred twenty-two million, eight hundred eighty-one thousand".