11364075373536 has 288 divisors, whose sum is σ = 33919135810560. Its totient is φ = 3602135826432.

The previous prime is 11364075373501. The next prime is 11364075373549. The reversal of 11364075373536 is 63537357046311.

11364075373536 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 4 + 0 + 75 + 37 + 3 + 536 = 666.

11364075373536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3690831645 + ... + 3690834723.

It is an arithmetic number, because the mean of its divisors is an integer number (117774777120).

Almost surely, 2^{11364075373536} is an apocalyptic number.

11364075373536 is a gapful number since it is divisible by the number (16) 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 11364075373536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959567905280).

11364075373536 is an abundant number, since it is smaller than the sum of its proper divisors (22555060437024).

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

11364075373536 is a wasteful number, since it uses less digits than its factorization.

11364075373536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6198 (or 6187 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 54.

The spelling of 11364075373536 in words is "eleven trillion, three hundred sixty-four billion, seventy-five million, three hundred seventy-three thousand, five hundred thirty-six".