10166784012 has 180 divisors, whose sum is σ = 33728481864. Its totient is φ = 2640677760.

The previous prime is 10166783999. The next prime is 10166784031. The reversal of 10166784012 is 21048766101.

It is a happy number.

10166784012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10166784012² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 145528 + ... + 203744.

Almost surely, 2^10166784012 is an apocalyptic number.

10166784012 is a gapful number since it is divisible by the number (12) 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 10166784012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16864240932).

10166784012 is an abundant number, since it is smaller than the sum of its proper divisors (23561697852).

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

10166784012 is a wasteful number, since it uses less digits than its factorization.

10166784012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58258 (or 58240 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10166784012 in words is "ten billion, one hundred sixty-six million, seven hundred eighty-four thousand, twelve".