11960083226385 has 288 divisors, whose sum is σ = 25749719783424. Its totient is φ = 5022300672000.

The previous prime is 11960083226369. The next prime is 11960083226387. The reversal of 11960083226385 is 58362238006911.

11960083226385 is a `hidden beast` number, since 1 + 1 + 9 + 600 + 8 + 3 + 2 + 26 + 3 + 8 + 5 = 666.

It is not a de Polignac number, because 11960083226385 - 2⁴ = 11960083226369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11960083226387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 548088775 + ... + 548110595.

It is an arithmetic number, because the mean of its divisors is an integer number (89408749248).

Almost surely, 2^{11960083226385} is an apocalyptic number.

11960083226385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11960083226385 is an abundant number, since it is smaller than the sum of its proper divisors (13789636557039).

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

11960083226385 is a wasteful number, since it uses less digits than its factorization.

11960083226385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21985 (or 21945 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 11960083226385 in words is "eleven trillion, nine hundred sixty billion, eighty-three million, two hundred twenty-six thousand, three hundred eighty-five".