11271662611000 has 128 divisors (see below), whose sum is σ = 29261168352000. Its totient is φ = 4029315216000.

The previous prime is 11271662610997. The next prime is 11271662611031. The reversal of 11271662611000 is 11626617211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8034870 + ... + 9332869.

It is an arithmetic number, because the mean of its divisors is an integer number (228602877750).

Almost surely, 2^{11271662611000} is an apocalyptic number.

11271662611000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11271662611000 is an abundant number, since it is smaller than the sum of its proper divisors (17989505741000).

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

11271662611000 is a wasteful number, since it uses less digits than its factorization.

11271662611000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17367830 (or 17367816 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 11271662611000 in words is "eleven trillion, two hundred seventy-one billion, six hundred sixty-two million, six hundred eleven thousand".