10990507110912 has 480 divisors, whose sum is σ = 37048290364800. Its totient is φ = 3135239331840.

The previous prime is 10990507110889. The next prime is 10990507110917. The reversal of 10990507110912 is 21901170509901.

10990507110912 is a `hidden beast` number, since 10 + 9 + 9 + 0 + 507 + 110 + 9 + 12 = 666.

10990507110912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10990507110917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1079506462 + ... + 1079516642.

It is an arithmetic number, because the mean of its divisors is an integer number (77183938260).

Almost surely, 2^{10990507110912} is an apocalyptic number.

10990507110912 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 10990507110912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18524145182400).

10990507110912 is an abundant number, since it is smaller than the sum of its proper divisors (26057783253888).

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

10990507110912 is an equidigital number, since it uses as much as digits as its factorization.

10990507110912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10909 (or 10876 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 45.

The spelling of 10990507110912 in words is "ten trillion, nine hundred ninety billion, five hundred seven million, one hundred ten thousand, nine hundred twelve".