11628085586756 has 12 divisors (see below), whose sum is σ = 20351258783100. Its totient is φ = 5813440220160.

The previous prime is 11628085586707. The next prime is 11628085586759. The reversal of 11628085586756 is 65768558082611.

It can be written as a sum of positive squares in 2 ways, for example, as 7575981002500 + 4052104584256 = 2752450^2 + 2012984^2 .

It is not an unprimeable number, because it can be changed into a prime (11628085586759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 150599885 + ... + 150677076.

It is an arithmetic number, because the mean of its divisors is an integer number (1695938231925).

Almost surely, 2^{11628085586756} is an apocalyptic number.

It is an amenable number.

11628085586756 is a deficient number, since it is larger than the sum of its proper divisors (8723173196344).

11628085586756 is a wasteful number, since it uses less digits than its factorization.

11628085586756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301286614 (or 301286612 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 68.

The spelling of 11628085586756 in words is "eleven trillion, six hundred twenty-eight billion, eighty-five million, five hundred eighty-six thousand, seven hundred fifty-six".