11007792016 has 60 divisors (see below), whose sum is σ = 23118155760. Its totient is φ = 5075291520.

The previous prime is 11007792013. The next prime is 11007792031. The reversal of 11007792016 is 61029770011.

It is not an unprimeable number, because it can be changed into a prime (11007792013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4138495 + ... + 4141153.

It is an arithmetic number, because the mean of its divisors is an integer number (385302596).

Almost surely, 2^11007792016 is an apocalyptic number.

11007792016 is a gapful number since it is divisible by the number (16) 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 11007792016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11559077880).

11007792016 is an abundant number, since it is smaller than the sum of its proper divisors (12110363744).

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

11007792016 is a wasteful number, since it uses less digits than its factorization.

11007792016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 34.

Subtracting from 11007792016 its product of nonzero digits (5292), we obtain a square (11007786724 = 104918²).

The spelling of 11007792016 in words is "eleven billion, seven million, seven hundred ninety-two thousand, sixteen".