25659607680 has 640 divisors, whose sum is σ = 108151464960. Its totient is φ = 5673369600.

The previous prime is 25659607667. The next prime is 25659607681. The reversal of 25659607680 is 8670695652.

It is a happy number.

25659607680 is a `hidden beast` number, since 2 + 565 + 9 + 6 + 0 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25659607681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11248140 + ... + 11250420.

It is an arithmetic number, because the mean of its divisors is an integer number (168986664).

Almost surely, 2^25659607680 is an apocalyptic number.

25659607680 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 25659607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54075732480).

25659607680 is an abundant number, since it is smaller than the sum of its proper divisors (82491857280).

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

25659607680 is a wasteful number, since it uses less digits than its factorization.

25659607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 25659607680 in words is "twenty-five billion, six hundred fifty-nine million, six hundred seven thousand, six hundred eighty".