25676676000 has 960 divisors, whose sum is σ = 102555573120. Its totient is φ = 6270566400.

The previous prime is 25676675987. The next prime is 25676676007. The reversal of 25676676000 is 67667652.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25676676007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 264707952 + ... + 264708048.

It is an arithmetic number, because the mean of its divisors is an integer number (106828722).

Almost surely, 2^25676676000 is an apocalyptic number.

25676676000 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 25676676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51277786560).

25676676000 is an abundant number, since it is smaller than the sum of its proper divisors (76878897120).

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

25676676000 is a wasteful number, since it uses less digits than its factorization.

25676676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 25676676000 in words is "twenty-five billion, six hundred seventy-six million, six hundred seventy-six thousand".