25829000010 has 256 divisors, whose sum is σ = 77651965440. Its totient is φ = 6105369600.

The previous prime is 25829000003. The next prime is 25829000011. The reversal of 25829000010 is 1000092852.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25829000011) 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, 14733294 + ... + 14735046.

It is an arithmetic number, because the mean of its divisors is an integer number (303327990).

Almost surely, 2^25829000010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25829000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38825982720).

25829000010 is an abundant number, since it is smaller than the sum of its proper divisors (51822965430).

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

25829000010 is a wasteful number, since it uses less digits than its factorization.

25829000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 25829000010 its reverse (1000092852), we get a palindrome (26829092862).

The spelling of 25829000010 in words is "twenty-five billion, eight hundred twenty-nine million, ten", and thus it is an aban number.