27153164160 has 192 divisors, whose sum is σ = 93964019760. Its totient is φ = 7225344000.

The previous prime is 27153164147. The next prime is 27153164161. The reversal of 27153164160 is 6146135172.

27153164160 is a `hidden beast` number, since 2 + 7 + 1 + 5 + 3 + 1 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27153164161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2823360 + ... + 2832960.

Almost surely, 2^27153164160 is an apocalyptic number.

27153164160 is a gapful number since it is divisible by the number (20) 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 27153164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46982009880).

27153164160 is an abundant number, since it is smaller than the sum of its proper divisors (66810855600).

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

27153164160 is a wasteful number, since it uses less digits than its factorization.

27153164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117 (or 10102 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 27153164160 in words is "twenty-seven billion, one hundred fifty-three million, one hundred sixty-four thousand, one hundred sixty".