10820877031668 has 96 divisors (see below), whose sum is σ = 29485157184000. Its totient is φ = 3053819767680.

The previous prime is 10820877031619. The next prime is 10820877031669. The reversal of 10820877031668 is 86613077802801.

10820877031668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (10820877031669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36415963 + ... + 36711906.

It is an arithmetic number, because the mean of its divisors is an integer number (307137054000).

Almost surely, 2^{10820877031668} is an apocalyptic number.

It is an amenable number.

10820877031668 is an abundant number, since it is smaller than the sum of its proper divisors (18664280152332).

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

10820877031668 is a wasteful number, since it uses less digits than its factorization.

10820877031668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73127965 (or 73127963 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 10820877031668 in words is "ten trillion, eight hundred twenty billion, eight hundred seventy-seven million, thirty-one thousand, six hundred sixty-eight".