11029216320 has 168 divisors, whose sum is σ = 38210215680. Its totient is φ = 2919859200.

The previous prime is 11029216277. The next prime is 11029216333. The reversal of 11029216320 is 2361292011.

11029216320 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 9 + 21 + 632 + 0 = 666.

It is a super-2 number, since 2×11029216320² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 386545 + ... + 414095.

It is an arithmetic number, because the mean of its divisors is an integer number (227441760).

Almost surely, 2^11029216320 is an apocalyptic number.

11029216320 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 11029216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105107840).

11029216320 is an abundant number, since it is smaller than the sum of its proper divisors (27180999360).

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

11029216320 is a wasteful number, since it uses less digits than its factorization.

11029216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27713 (or 27700 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11029216320 in words is "eleven billion, twenty-nine million, two hundred sixteen thousand, three hundred twenty".