25675916000 has 576 divisors, whose sum is σ = 81102228480. Its totient is φ = 7802265600.

The previous prime is 25675915999. The next prime is 25675916011. The reversal of 25675916000 is 61957652.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 153747917 + ... + 153748083.

It is an arithmetic number, because the mean of its divisors is an integer number (140802480).

Almost surely, 2^25675916000 is an apocalyptic number.

25675916000 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 25675916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40551114240).

25675916000 is an abundant number, since it is smaller than the sum of its proper divisors (55426312480).

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

25675916000 is a wasteful number, since it uses less digits than its factorization.

25675916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The spelling of 25675916000 in words is "twenty-five billion, six hundred seventy-five million, nine hundred sixteen thousand".