11091825216000 has 720 divisors, whose sum is σ = 40241956803048. Its totient is φ = 2936401920000.

The previous prime is 11091825215987. The next prime is 11091825216001. The reversal of 11091825216000 is 61252819011.

11091825216000 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 1 + 8 + 25 + 21 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5262729636096 + 5829095579904 = 2294064^2 + 2414352^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11091825216001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18455615700 + ... + 18455616300.

Almost surely, 2^{11091825216000} is an apocalyptic number.

11091825216000 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 11091825216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20120978401524).

11091825216000 is an abundant number, since it is smaller than the sum of its proper divisors (29150131587048).

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

11091825216000 is an frugal number, since it uses more digits than its factorization.

11091825216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 11091825216000 in words is "eleven trillion, ninety-one billion, eight hundred twenty-five million, two hundred sixteen thousand".