11049364085760 has 6336 divisors, whose sum is σ = 58189926856320. Its totient is φ = 1961990553600.

The previous prime is 11049364085741. The next prime is 11049364085791. The reversal of 11049364085760 is 6758046394011.

11049364085760 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 9 + 3 + 64 + 0 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

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 = 11049364085697 and 11049364085706.

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 575 ways as a sum of consecutive naturals, for example, 181137116130 + ... + 181137116190.

Almost surely, 2^{11049364085760} is an apocalyptic number.

11049364085760 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 11049364085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29094963428160).

11049364085760 is an abundant number, since it is smaller than the sum of its proper divisors (47140562770560).

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

11049364085760 is a wasteful number, since it uses less digits than its factorization.

11049364085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 11049364085760 in words is "eleven trillion, forty-nine billion, three hundred sixty-four million, eighty-five thousand, seven hundred sixty".