11091316800 has 672 divisors, whose sum is σ = 41158972800. Its totient is φ = 2601123840.

The previous prime is 11091316739. The next prime is 11091316807. The reversal of 11091316800 is 861319011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11091316807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101755146 + ... + 101755254.

Almost surely, 2^11091316800 is an apocalyptic number.

11091316800 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 11091316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20579486400).

11091316800 is an abundant number, since it is smaller than the sum of its proper divisors (30067656000).

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

11091316800 is a wasteful number, since it uses less digits than its factorization.

11091316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 11091316800 in words is "eleven billion, ninety-one million, three hundred sixteen thousand, eight hundred".