25545980768 has 288 divisors, whose sum is σ = 67529645568. Its totient is φ = 9289082880.

The previous prime is 25545980753. The next prime is 25545980773. The reversal of 25545980768 is 86708954552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26805380 + ... + 26806332.

It is an arithmetic number, because the mean of its divisors is an integer number (234477936).

Almost surely, 2^25545980768 is an apocalyptic number.

25545980768 is a gapful number since it is divisible by the number (28) 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 25545980768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33764822784).

25545980768 is an abundant number, since it is smaller than the sum of its proper divisors (41983664800).

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

25545980768 is a wasteful number, since it uses less digits than its factorization.

25545980768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 59.

The spelling of 25545980768 in words is "twenty-five billion, five hundred forty-five million, nine hundred eighty thousand, seven hundred sixty-eight".