25680668832001 has 16 divisors (see below), whose sum is σ = 27530722739520. Its totient is φ = 23868998714880.

The previous prime is 25680668831959. The next prime is 25680668832047. The reversal of 25680668832001 is 10023886608652.

It is a cyclic number.

It is not a de Polignac number, because 25680668832001 - 2¹³ = 25680668823809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25680668832061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9237411 + ... + 11691496.

It is an arithmetic number, because the mean of its divisors is an integer number (1720670171220).

Almost surely, 2^{25680668832001} is an apocalyptic number.

It is an amenable number.

25680668832001 is a deficient number, since it is larger than the sum of its proper divisors (1850053907519).

25680668832001 is a wasteful number, since it uses less digits than its factorization.

25680668832001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20929824.

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 25680668832001 in words is "twenty-five trillion, six hundred eighty billion, six hundred sixty-eight million, eight hundred thirty-two thousand, one".