25681829160 has 128 divisors (see below), whose sum is σ = 84378672000. Its totient is φ = 6214511616.

The previous prime is 25681829149. The next prime is 25681829203. The reversal of 25681829160 is 6192818652.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47475 + ... + 231554.

It is an arithmetic number, because the mean of its divisors is an integer number (659208375).

Almost surely, 2^25681829160 is an apocalyptic number.

25681829160 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 25681829160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42189336000).

25681829160 is an abundant number, since it is smaller than the sum of its proper divisors (58696842840).

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

25681829160 is a wasteful number, since it uses less digits than its factorization.

25681829160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279115 (or 279111 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 25681829160 in words is "twenty-five billion, six hundred eighty-one million, eight hundred twenty-nine thousand, one hundred sixty".