11686522613760 has 260 divisors, whose sum is σ = 41893239143448. Its totient is φ = 3116405587968.

The previous prime is 11686522613707. The next prime is 11686522613771. The reversal of 11686522613760 is 6731622568611.

It is a happy number.

11686522613760 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 6 + 5 + 2 + 261 + 376 + 0 = 666.

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 = 11686522613697 and 11686522613706.

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 19 ways as a sum of consecutive naturals, for example, 1863534 + ... + 5181293.

Almost surely, 2^{11686522613760} is an apocalyptic number.

11686522613760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11686522613760 is an abundant number, since it is smaller than the sum of its proper divisors (30206716529688).

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

11686522613760 is an frugal number, since it uses more digits than its factorization.

11686522613760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044868 (or 7044837 counting only the distinct ones).

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

The spelling of 11686522613760 in words is "eleven trillion, six hundred eighty-six billion, five hundred twenty-two million, six hundred thirteen thousand, seven hundred sixty".