11100066672 has 20 divisors (see below), whose sum is σ = 28675172360. Its totient is φ = 3700022208.

The previous prime is 11100066671. The next prime is 11100066721. The reversal of 11100066672 is 27666000111.

11100066672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11100066672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100066671) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 115625647 + ... + 115625742.

It is an arithmetic number, because the mean of its divisors is an integer number (1433758618).

Almost surely, 2^11100066672 is an apocalyptic number.

11100066672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11100066672 is an abundant number, since it is smaller than the sum of its proper divisors (17575105688).

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

11100066672 is a wasteful number, since it uses less digits than its factorization.

11100066672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231251400 (or 231251394 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 11100066672 its reverse (27666000111), we get a palindrome (38766066783).

The spelling of 11100066672 in words is "eleven billion, one hundred million, sixty-six thousand, six hundred seventy-two".