10011106686180 has 192 divisors, whose sum is σ = 28506534674688. Its totient is φ = 2624739686400.

The previous prime is 10011106686167. The next prime is 10011106686227. The reversal of 10011106686180 is 8168660111001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2933226154 + ... + 2933229566.

It is an arithmetic number, because the mean of its divisors is an integer number (148471534764).

Almost surely, 2^{10011106686180} is an apocalyptic number.

10011106686180 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 10011106686180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14253267337344).

10011106686180 is an abundant number, since it is smaller than the sum of its proper divisors (18495427988508).

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

10011106686180 is a wasteful number, since it uses less digits than its factorization.

10011106686180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6764 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 39.

Adding to 10011106686180 its reverse (8168660111001), we get a palindrome (18179766797181).

The spelling of 10011106686180 in words is "ten trillion, eleven billion, one hundred six million, six hundred eighty-six thousand, one hundred eighty".