27064505160 has 768 divisors, whose sum is σ = 120559104000. Its totient is φ = 5325626880.

The previous prime is 27064505147. The next prime is 27064505201. The reversal of 27064505160 is 6150546072.

It is a happy number.

27064505160 is a `hidden beast` number, since 2 + 7 + 0 + 645 + 0 + 5 + 1 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11059057 + ... + 11061503.

It is an arithmetic number, because the mean of its divisors is an integer number (156978000).

Almost surely, 2^27064505160 is an apocalyptic number.

27064505160 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 27064505160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60279552000).

27064505160 is an abundant number, since it is smaller than the sum of its proper divisors (93494598840).

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

27064505160 is a wasteful number, since it uses less digits than its factorization.

27064505160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 27064505160 in words is "twenty-seven billion, sixty-four million, five hundred five thousand, one hundred sixty".