11001662672 has 240 divisors, whose sum is σ = 29407742784. Its totient is φ = 3951763200.

The previous prime is 11001662641. The next prime is 11001662689. The reversal of 11001662672 is 27626610011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13565147 + ... + 13565957.

Almost surely, 2^11001662672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001662672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703871392).

11001662672 is an abundant number, since it is smaller than the sum of its proper divisors (18406080112).

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

11001662672 is a wasteful number, since it uses less digits than its factorization.

11001662672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 11001662672 in words is "eleven billion, one million, six hundred sixty-two thousand, six hundred seventy-two".