11825838884301 has 32 divisors (see below), whose sum is σ = 17409462271488. Its totient is φ = 7094885498880.

The previous prime is 11825838884287. The next prime is 11825838884351. The reversal of 11825838884301 is 10348883852811.

It is a happy number.

11825838884301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11825838884301 - 2¹³ = 11825838876109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11825838884351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12080730 + ... + 13022891.

It is an arithmetic number, because the mean of its divisors is an integer number (544045695984).

Almost surely, 2^{11825838884301} is an apocalyptic number.

It is an amenable number.

11825838884301 is a deficient number, since it is larger than the sum of its proper divisors (5583623387187).

11825838884301 is a wasteful number, since it uses less digits than its factorization.

11825838884301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25103941.

The product of its (nonzero) digits is 11796480, while the sum is 60.

The spelling of 11825838884301 in words is "eleven trillion, eight hundred twenty-five billion, eight hundred thirty-eight million, eight hundred eighty-four thousand, three hundred one".