11628871088627 has 16 divisors (see below), whose sum is σ = 12600193543392. Its totient is φ = 10668590818560.

The previous prime is 11628871088623. The next prime is 11628871088647. The reversal of 11628871088627 is 72688017882611.

It is a cyclic number.

It is not a de Polignac number, because 11628871088627 - 2² = 11628871088623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11628871088623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2407628 + ... + 5390214.

It is an arithmetic number, because the mean of its divisors is an integer number (787512096462).

Almost surely, 2^{11628871088627} is an apocalyptic number.

11628871088627 is a deficient number, since it is larger than the sum of its proper divisors (971322454765).

11628871088627 is a wasteful number, since it uses less digits than its factorization.

11628871088627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984438.

The product of its (nonzero) digits is 28901376, while the sum is 65.

The spelling of 11628871088627 in words is "eleven trillion, six hundred twenty-eight billion, eight hundred seventy-one million, eighty-eight thousand, six hundred twenty-seven".