11361755079360 has 2016 divisors, whose sum is σ = 52115400285120. Its totient is φ = 2315037376512.

The previous prime is 11361755079293. The next prime is 11361755079421. The reversal of 11361755079360 is 6397055716311.

11361755079360 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 1 + 75 + 507 + 9 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11361755079297 and 11361755079306.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 2598158134 + ... + 2598162506.

Almost surely, 2^{11361755079360} is an apocalyptic number.

11361755079360 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 11361755079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26057700142560).

11361755079360 is an abundant number, since it is smaller than the sum of its proper divisors (40753645205760).

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

11361755079360 is a wasteful number, since it uses less digits than its factorization.

11361755079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 11361755079360 in words is "eleven trillion, three hundred sixty-one billion, seven hundred fifty-five million, seventy-nine thousand, three hundred sixty".