10827131076 has 144 divisors (see below), whose sum is σ = 29664835200. Its totient is φ = 3318921216.

The previous prime is 10827131069. The next prime is 10827131089. The reversal of 10827131076 is 67013172801.

10827131076 is a `hidden beast` number, since 1 + 0 + 8 + 271 + 310 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10827131076.

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, 3514905 + ... + 3517983.

It is an arithmetic number, because the mean of its divisors is an integer number (206005800).

Almost surely, 2^10827131076 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 10827131076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14832417600).

10827131076 is an abundant number, since it is smaller than the sum of its proper divisors (18837704124).

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

10827131076 is a wasteful number, since it uses less digits than its factorization.

10827131076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10827131076 in words is "ten billion, eight hundred twenty-seven million, one hundred thirty-one thousand, seventy-six".