27051275160 has 1152 divisors, whose sum is σ = 121405677120. Its totient is φ = 5350883328.

The previous prime is 27051275089. The next prime is 27051275161. The reversal of 27051275160 is 6157215072.

27051275160 is a `hidden beast` number, since 2 + 70 + 51 + 27 + 516 + 0 = 666.

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 (27051275161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 105257752 + ... + 105258008.

Almost surely, 2^27051275160 is an apocalyptic number.

27051275160 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 27051275160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60702838560).

27051275160 is an abundant number, since it is smaller than the sum of its proper divisors (94354401960).

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

27051275160 is a wasteful number, since it uses less digits than its factorization.

27051275160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 27051275160 in words is "twenty-seven billion, fifty-one million, two hundred seventy-five thousand, one hundred sixty".