27856576512 has 140 divisors (see below), whose sum is σ = 83222723826. Its totient is φ = 9285304320.

The previous prime is 27856576507. The next prime is 27856576513. The reversal of 27856576512 is 21567565872.

27856576512 is a `hidden beast` number, since 2 + 7 + 8 + 56 + 5 + 76 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27710263296 + 146313216 = 166464^2 + 12096^2 .

It is a super-2 number, since 2×27856576512² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27856576513) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 642562 + ... + 684542.

Almost surely, 2^27856576512 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 27856576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41611361913).

27856576512 is an abundant number, since it is smaller than the sum of its proper divisors (55366147314).

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

27856576512 is an frugal number, since it uses more digits than its factorization.

27856576512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42019 (or 41986 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The spelling of 27856576512 in words is "twenty-seven billion, eight hundred fifty-six million, five hundred seventy-six thousand, five hundred twelve".