27104123101664 has 96 divisors (see below), whose sum is σ = 62158259229696. Its totient is φ = 11392601725440.

The previous prime is 27104123101603. The next prime is 27104123101687. The reversal of 27104123101664 is 46610132140172.

It is a super-2 number, since 2×27104123101664² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31282739 + ... + 32137485.

It is an arithmetic number, because the mean of its divisors is an integer number (647481866976).

Almost surely, 2^{27104123101664} 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 27104123101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31079129614848).

27104123101664 is an abundant number, since it is smaller than the sum of its proper divisors (35054136128032).

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

27104123101664 is a wasteful number, since it uses less digits than its factorization.

27104123101664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857488 (or 857480 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 27104123101664 in words is "twenty-seven trillion, one hundred four billion, one hundred twenty-three million, one hundred one thousand, six hundred sixty-four".