11066419872 has 72 divisors (see below), whose sum is σ = 31505423040. Its totient is φ = 3684670080.

The previous prime is 11066419849. The next prime is 11066419877. The reversal of 11066419872 is 27891466011.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (11066419877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241279 + ... + 283457.

It is an arithmetic number, because the mean of its divisors is an integer number (437575320).

Almost surely, 2^11066419872 is an apocalyptic number.

11066419872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11066419872 is an abundant number, since it is smaller than the sum of its proper divisors (20439003168).

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

11066419872 is a wasteful number, since it uses less digits than its factorization.

11066419872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43106 (or 43095 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11066419872 in words is "eleven billion, sixty-six million, four hundred nineteen thousand, eight hundred seventy-two".