27026595655164 has 216 divisors, whose sum is σ = 82219795126560. Its totient is φ = 7454855132928.

The previous prime is 27026595655139. The next prime is 27026595655183. The reversal of 27026595655164 is 46155659562072.

27026595655164 is a `hidden beast` number, since 2 + 7 + 0 + 2 + 6 + 5 + 9 + 565 + 5 + 1 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 664138002 + ... + 664178694.

It is an arithmetic number, because the mean of its divisors is an integer number (380647199660).

Almost surely, 2^{27026595655164} 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 27026595655164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41109897563280).

27026595655164 is an abundant number, since it is smaller than the sum of its proper divisors (55193199471396).

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

27026595655164 is a wasteful number, since it uses less digits than its factorization.

27026595655164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53729 (or 53717 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 27026595655164 in words is "twenty-seven trillion, twenty-six billion, five hundred ninety-five million, six hundred fifty-five thousand, one hundred sixty-four".