11353200768 has 384 divisors, whose sum is σ = 41310097920. Its totient is φ = 2912329728.

The previous prime is 11353200767. The next prime is 11353200787. The reversal of 11353200768 is 86700235311.

11353200768 is a `hidden beast` number, since 113 + 532 + 0 + 0 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (11353200767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3877321 + ... + 3880247.

It is an arithmetic number, because the mean of its divisors is an integer number (107578380).

Almost surely, 2^11353200768 is an apocalyptic number.

11353200768 is a gapful number since it is divisible by the number (18) 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 11353200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20655048960).

11353200768 is an abundant number, since it is smaller than the sum of its proper divisors (29956897152).

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

11353200768 is a wasteful number, since it uses less digits than its factorization.

11353200768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11353200768 in words is "eleven billion, three hundred fifty-three million, two hundred thousand, seven hundred sixty-eight".