11970093632 has 112 divisors (see below), whose sum is σ = 28689239040. Its totient is φ = 4840653312.

The previous prime is 11970093607. The next prime is 11970093647. The reversal of 11970093632 is 23639007911.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 11970093632.

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 15 ways as a sum of consecutive naturals, for example, 2235983 + ... + 2241329.

It is an arithmetic number, because the mean of its divisors is an integer number (256153920).

Almost surely, 2^11970093632 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 11970093632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14344619520).

11970093632 is an abundant number, since it is smaller than the sum of its proper divisors (16719145408).

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

11970093632 is a wasteful number, since it uses less digits than its factorization.

11970093632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 41.

The spelling of 11970093632 in words is "eleven billion, nine hundred seventy million, ninety-three thousand, six hundred thirty-two".