11202666960 has 40 divisors (see below), whose sum is σ = 34728268320. Its totient is φ = 2987377792.

The previous prime is 11202666901. The next prime is 11202666973. The reversal of 11202666960 is 6966620211.

11202666960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 23338650 + ... + 23339129.

It is an arithmetic number, because the mean of its divisors is an integer number (868206708).

Almost surely, 2^11202666960 is an apocalyptic number.

11202666960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202666960 is an abundant number, since it is smaller than the sum of its proper divisors (23525601360).

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

11202666960 is a wasteful number, since it uses less digits than its factorization.

11202666960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46677795 (or 46677789 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 11202666960 in words is "eleven billion, two hundred two million, six hundred sixty-six thousand, nine hundred sixty".