11091371200 has 336 divisors, whose sum is σ = 35573598144. Its totient is φ = 3303014400.

The previous prime is 11091371197. The next prime is 11091371219. The reversal of 11091371200 is 217319011.

It is a super-3 number, since 3×11091371200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 47 ways as a sum of consecutive naturals, for example, 2472960 + ... + 2477440.

It is an arithmetic number, because the mean of its divisors is an integer number (105873804).

Almost surely, 2^11091371200 is an apocalyptic number.

11091371200 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 11091371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17786799072).

11091371200 is an abundant number, since it is smaller than the sum of its proper divisors (24482226944).

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

11091371200 is a wasteful number, since it uses less digits than its factorization.

11091371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 25.

The spelling of 11091371200 in words is "eleven billion, ninety-one million, three hundred seventy-one thousand, two hundred".