27155172106944 has 672 divisors, whose sum is σ = 97828239801600. Its totient is φ = 7344575078400.

The previous prime is 27155172106913. The next prime is 27155172106967. The reversal of 27155172106944 is 44960127155172.

27155172106944 is a `hidden beast` number, since 2 + 7 + 1 + 5 + 517 + 21 + 0 + 69 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2334316552 + ... + 2334328184.

It is an arithmetic number, because the mean of its divisors is an integer number (145577737800).

Almost surely, 2^{27155172106944} is an apocalyptic number.

27155172106944 is a gapful number since it is divisible by the number (24) 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 27155172106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48914119900800).

27155172106944 is an abundant number, since it is smaller than the sum of its proper divisors (70673067694656).

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

27155172106944 is a wasteful number, since it uses less digits than its factorization.

27155172106944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13138 (or 13115 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 27155172106944 in words is "twenty-seven trillion, one hundred fifty-five billion, one hundred seventy-two million, one hundred six thousand, nine hundred forty-four".