27158733785172 has 144 divisors (see below), whose sum is σ = 69764460808896. Its totient is φ = 8217000422400.

The previous prime is 27158733785129. The next prime is 27158733785173.

27158733785172 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27158733785173) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5478862518 + ... + 5478867474.

It is an arithmetic number, because the mean of its divisors is an integer number (484475422284).

Almost surely, 2^{27158733785172} is an apocalyptic number.

27158733785172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27158733785172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34882230404448).

27158733785172 is an abundant number, since it is smaller than the sum of its proper divisors (42605727023724).

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

27158733785172 is a wasteful number, since it uses less digits than its factorization.

27158733785172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10150 (or 10137 counting only the distinct ones).

The product of its digits is 138297600, while the sum is 66.

The spelling of 27158733785172 in words is "twenty-seven trillion, one hundred fifty-eight billion, seven hundred thirty-three million, seven hundred eighty-five thousand, one hundred seventy-two".