11151032816 has 320 divisors, whose sum is σ = 29742858240. Its totient is φ = 3951763200.

The previous prime is 11151032803. The next prime is 11151032843. The reversal of 11151032816 is 61823015111.

It is a congruent number.

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, 87803345 + ... + 87803471.

It is an arithmetic number, because the mean of its divisors is an integer number (92946432).

Almost surely, 2^11151032816 is an apocalyptic number.

11151032816 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 11151032816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871429120).

11151032816 is an abundant number, since it is smaller than the sum of its proper divisors (18591825424).

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

11151032816 is a wasteful number, since it uses less digits than its factorization.

11151032816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

Adding to 11151032816 its reverse (61823015111), we get a palindrome (72974047927).

The spelling of 11151032816 in words is "eleven billion, one hundred fifty-one million, thirty-two thousand, eight hundred sixteen".