25669918560 has 768 divisors, whose sum is σ = 99249131520. Its totient is φ = 5494210560.

The previous prime is 25669918543. The next prime is 25669918583. The reversal of 25669918560 is 6581996652.

It is a self number, because there is not a number n which added to its sum of digits gives 25669918560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 235503786 + ... + 235503894.

It is an arithmetic number, because the mean of its divisors is an integer number (129230640).

Almost surely, 2^25669918560 is an apocalyptic number.

25669918560 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 25669918560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49624565760).

25669918560 is an abundant number, since it is smaller than the sum of its proper divisors (73579212960).

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

25669918560 is a wasteful number, since it uses less digits than its factorization.

25669918560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 57.

The spelling of 25669918560 in words is "twenty-five billion, six hundred sixty-nine million, nine hundred eighteen thousand, five hundred sixty".