27705535164 has 72 divisors (see below), whose sum is σ = 72953520640. Its totient is φ = 9193693104.

The previous prime is 27705535147. The next prime is 27705535199. The reversal of 27705535164 is 46153550772.

It is a happy number.

27705535164 is a `hidden beast` number, since 27 + 70 + 553 + 5 + 1 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152847 + ... + 280665.

Almost surely, 2^27705535164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27705535164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36476760320).

27705535164 is an abundant number, since it is smaller than the sum of its proper divisors (45247985476).

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

27705535164 is a wasteful number, since it uses less digits than its factorization.

27705535164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128061 (or 128047 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 27705535164 in words is "twenty-seven billion, seven hundred five million, five hundred thirty-five thousand, one hundred sixty-four".