26604117100001 has 16 divisors (see below), whose sum is σ = 30436804608000. Its totient is φ = 22779456223248.

The previous prime is 26604117099907. The next prime is 26604117100031. The reversal of 26604117100001 is 10000171140662.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-26604117100001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26604117100031) 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, 231687800 + ... + 231802598.

It is an arithmetic number, because the mean of its divisors is an integer number (1902300288000).

Almost surely, 2^{26604117100001} is an apocalyptic number.

It is an amenable number.

26604117100001 is a deficient number, since it is larger than the sum of its proper divisors (3832687507999).

26604117100001 is a wasteful number, since it uses less digits than its factorization.

26604117100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149468.

The product of its (nonzero) digits is 2016, while the sum is 29.

Adding to 26604117100001 its reverse (10000171140662), we get a palindrome (36604288240663).

The spelling of 26604117100001 in words is "twenty-six trillion, six hundred four billion, one hundred seventeen million, one hundred thousand, one".