10827831168 has 672 divisors, whose sum is σ = 40924280880. Its totient is φ = 2791895040.

The previous prime is 10827831143. The next prime is 10827831173. The reversal of 10827831168 is 86113872801.

It is a happy number.

10827831168 is a `hidden beast` number, since 1 + 0 + 8 + 278 + 311 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 79035196 + ... + 79035332.

Almost surely, 2^10827831168 is an apocalyptic number.

10827831168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10827831168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20462140440).

10827831168 is an abundant number, since it is smaller than the sum of its proper divisors (30096449712).

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

10827831168 is an equidigital number, since it uses as much as digits as its factorization.

10827831168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10827831168 in words is "ten billion, eight hundred twenty-seven million, eight hundred thirty-one thousand, one hundred sixty-eight".