10486166080 has 168 divisors, whose sum is σ = 27429585984. Its totient is φ = 3815884800.

The previous prime is 10486166069. The next prime is 10486166081. The reversal of 10486166080 is 8066168401.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10486166081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3838315 + ... + 3841045.

Almost surely, 2^10486166080 is an apocalyptic number.

10486166080 is a gapful number since it is divisible by the number (10) 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 10486166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13714792992).

10486166080 is an abundant number, since it is smaller than the sum of its proper divisors (16943419904).

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

10486166080 is a wasteful number, since it uses less digits than its factorization.

10486166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 10486166080 in words is "ten billion, four hundred eighty-six million, one hundred sixty-six thousand, eighty".