25680253536 has 288 divisors, whose sum is σ = 87213672000. Its totient is φ = 7012454400.

The previous prime is 25680253451. The next prime is 25680253537. The reversal of 25680253536 is 63535208652.

25680253536 is a `hidden beast` number, since 2 + 5 + 6 + 80 + 2 + 535 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 25680253491 and 25680253500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25680253537) 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 47 ways as a sum of consecutive naturals, for example, 5902690 + ... + 5907038.

It is an arithmetic number, because the mean of its divisors is an integer number (302825250).

Almost surely, 2^25680253536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25680253536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43606836000).

25680253536 is an abundant number, since it is smaller than the sum of its proper divisors (61533418464).

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

25680253536 is a wasteful number, since it uses less digits than its factorization.

25680253536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 25680253536 in words is "twenty-five billion, six hundred eighty million, two hundred fifty-three thousand, five hundred thirty-six".