10820872842168 has 64 divisors (see below), whose sum is σ = 28476350928000. Its totient is φ = 3417073368192.

The previous prime is 10820872842167. The next prime is 10820872842193. The reversal of 10820872842168 is 86124827802801.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820872842167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68973271 + ... + 69129977.

It is an arithmetic number, because the mean of its divisors is an integer number (444942983250).

Almost surely, 2^{10820872842168} is an apocalyptic number.

It is an amenable number.

10820872842168 is an abundant number, since it is smaller than the sum of its proper divisors (17655478085832).

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

10820872842168 is a wasteful number, since it uses less digits than its factorization.

10820872842168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308164 (or 308160 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 57.

The spelling of 10820872842168 in words is "ten trillion, eight hundred twenty billion, eight hundred seventy-two million, eight hundred forty-two thousand, one hundred sixty-eight".