11628871088832 has 112 divisors (see below), whose sum is σ = 34221724007520. Its totient is φ = 3872322256896.

The previous prime is 11628871088831. The next prime is 11628871088843. The reversal of 11628871088832 is 23888017882611.

It is a self number, because there is not a number n which added to its sum of digits gives 11628871088832.

It is not an unprimeable number, because it can be changed into a prime (11628871088831) 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 15 ways as a sum of consecutive naturals, for example, 1755793 + ... + 5132304.

It is an arithmetic number, because the mean of its divisors is an integer number (305551107210).

Almost surely, 2^{11628871088832} is an apocalyptic number.

11628871088832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11628871088832 is an abundant number, since it is smaller than the sum of its proper divisors (22592852918688).

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

11628871088832 is an equidigital number, since it uses as much as digits as its factorization.

11628871088832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889095 (or 6889079 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 63.

The spelling of 11628871088832 in words is "eleven trillion, six hundred twenty-eight billion, eight hundred seventy-one million, eighty-eight thousand, eight hundred thirty-two".