10986074112 has 208 divisors, whose sum is σ = 31916067680. Its totient is φ = 3340763136.

The previous prime is 10986074093. The next prime is 10986074117. The reversal of 10986074112 is 21147068901.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10986074117) 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 15 ways as a sum of consecutive naturals, for example, 15494814 + ... + 15495522.

Almost surely, 2^10986074112 is an apocalyptic number.

10986074112 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 10986074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958033840).

10986074112 is an abundant number, since it is smaller than the sum of its proper divisors (20929993568).

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

10986074112 is an equidigital number, since it uses as much as digits as its factorization.

10986074112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 10986074112 in words is "ten billion, nine hundred eighty-six million, seventy-four thousand, one hundred twelve".