27755031564 has 144 divisors (see below), whose sum is σ = 78221959200. Its totient is φ = 8506757376.

The previous prime is 27755031547. The next prime is 27755031571. The reversal of 27755031564 is 46513055772.

It is a happy number.

27755031564 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 50 + 31 + 564 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 4906962 + ... + 4912614.

It is an arithmetic number, because the mean of its divisors is an integer number (543208050).

Almost surely, 2^27755031564 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 27755031564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39110979600).

27755031564 is an abundant number, since it is smaller than the sum of its proper divisors (50466927636).

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

27755031564 is a wasteful number, since it uses less digits than its factorization.

27755031564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961 (or 5940 counting only the distinct ones).

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

The spelling of 27755031564 in words is "twenty-seven billion, seven hundred fifty-five million, thirty-one thousand, five hundred sixty-four".