10666885842 has 64 divisors (see below), whose sum is σ = 23967187200. Its totient is φ = 3516307200.

The previous prime is 10666885819. The next prime is 10666885843. The reversal of 10666885842 is 24858866601.

It is a super-2 number, since 2×10666885842² (a number of 21 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 (10666885843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3806842 + ... + 3809642.

It is an arithmetic number, because the mean of its divisors is an integer number (374487300).

Almost surely, 2^10666885842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10666885842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11983593600).

10666885842 is an abundant number, since it is smaller than the sum of its proper divisors (13300301358).

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

10666885842 is a wasteful number, since it uses less digits than its factorization.

10666885842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

It can be divided in two parts, 106668 and 85842, that added together give a triangular number (192510 = T₆₂₀).

The spelling of 10666885842 in words is "ten billion, six hundred sixty-six million, eight hundred eighty-five thousand, eight hundred forty-two".