27857661077772 has 144 divisors (see below), whose sum is σ = 72354507537312. Its totient is φ = 9032330280960.

The previous prime is 27857661077711. The next prime is 27857661077791. The reversal of 27857661077772 is 27777016675872.

It is a happy number.

It is a super-4 number, since 4×27857661077772⁴ (a number of 55 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27857661077772.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2283970378 + ... + 2283982574.

It is an arithmetic number, because the mean of its divisors is an integer number (502461857898).

Almost surely, 2^{27857661077772} 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 27857661077772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36177253768656).

27857661077772 is an abundant number, since it is smaller than the sum of its proper divisors (44496846459540).

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

27857661077772 is a wasteful number, since it uses less digits than its factorization.

27857661077772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18248 (or 18243 counting only the distinct ones).

The product of its (nonzero) digits is 677658240, while the sum is 72.

The spelling of 27857661077772 in words is "twenty-seven trillion, eight hundred fifty-seven billion, six hundred sixty-one million, seventy-seven thousand, seven hundred seventy-two".