27138908160 has 672 divisors, whose sum is σ = 115928729280. Its totient is φ = 5718933504.

The previous prime is 27138908141. The next prime is 27138908179. The reversal of 27138908160 is 6180983172.

It is an interprime number because it is at equal distance from previous prime (27138908141) and next prime (27138908179).

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

It is a super-2 number, since 2×27138908160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33545836 + ... + 33546644.

It is an arithmetic number, because the mean of its divisors is an integer number (172512990).

Almost surely, 2^27138908160 is an apocalyptic number.

27138908160 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 27138908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57964364640).

27138908160 is an abundant number, since it is smaller than the sum of its proper divisors (88789821120).

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

27138908160 is a wasteful number, since it uses less digits than its factorization.

27138908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 27138908160 in words is "twenty-seven billion, one hundred thirty-eight million, nine hundred eight thousand, one hundred sixty".