11165233024000 has 352 divisors, whose sum is σ = 30410011906560. Its totient is φ = 4057020416000.

The previous prime is 11165233023953. The next prime is 11165233024069. The reversal of 11165233024000 is 42033256111.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 11165233024000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2786429997 + ... + 2786434003.

It is an arithmetic number, because the mean of its divisors is an integer number (86392079280).

Almost surely, 2^{11165233024000} is an apocalyptic number.

11165233024000 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 11165233024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205005953280).

11165233024000 is an abundant number, since it is smaller than the sum of its proper divisors (19244778882560).

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

11165233024000 is a wasteful number, since it uses less digits than its factorization.

11165233024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 11165233024000 in words is "eleven trillion, one hundred sixty-five billion, two hundred thirty-three million, twenty-four thousand".