11133505361360 has 80 divisors (see below), whose sum is σ = 27566499287376. Its totient is φ = 4167209263104.

The previous prime is 11133505361263. The next prime is 11133505361371. The reversal of 11133505361360 is 6316350533111.

It can be written as a sum of positive squares in 8 ways, for example, as 2865856237456 + 8267649123904 = 1692884^2 + 2875352^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23424839 + ... + 23895398.

Almost surely, 2^{11133505361360} is an apocalyptic number.

11133505361360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133505361360 is an abundant number, since it is smaller than the sum of its proper divisors (16432993926016).

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

11133505361360 is a wasteful number, since it uses less digits than its factorization.

11133505361360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47320440 (or 47320434 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 38.

Adding to 11133505361360 its reverse (6316350533111), we get a palindrome (17449855894471).

The spelling of 11133505361360 in words is "eleven trillion, one hundred thirty-three billion, five hundred five million, three hundred sixty-one thousand, three hundred sixty".