11353282380000 has 1800 divisors, whose sum is σ = 48573644033376. Its totient is φ = 2589649920000.

The previous prime is 11353282379963. The next prime is 11353282380001. The reversal of 11353282380000 is 8328235311.

It is a happy number.

11353282380000 is a `hidden beast` number, since 1 + 13 + 532 + 82 + 38 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 (11353282380001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 3332338297 + ... + 3332341703.

Almost surely, 2^{11353282380000} is an apocalyptic number.

11353282380000 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 11353282380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24286822016688).

11353282380000 is an abundant number, since it is smaller than the sum of its proper divisors (37220361653376).

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

11353282380000 is a wasteful number, since it uses less digits than its factorization.

11353282380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11353282380000 in words is "eleven trillion, three hundred fifty-three billion, two hundred eighty-two million, three hundred eighty thousand".