11200567171216 has 20 divisors (see below), whose sum is σ = 21733929624124. Its totient is φ = 5591811139200.

The previous prime is 11200567171193. The next prime is 11200567171217. The reversal of 11200567171216 is 61217176500211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3905382249616 + 7295184921600 = 1976204^2 + 2700960^2 .

It is not an unprimeable number, because it can be changed into a prime (11200567171217) 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, 529516995 + ... + 529538146.

Almost surely, 2^{11200567171216} is an apocalyptic number.

11200567171216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11200567171216 is a deficient number, since it is larger than the sum of its proper divisors (10533362452908).

11200567171216 is a wasteful number, since it uses less digits than its factorization.

11200567171216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059055810 (or 1059055804 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 40.

The spelling of 11200567171216 in words is "eleven trillion, two hundred billion, five hundred sixty-seven million, one hundred seventy-one thousand, two hundred sixteen".