11684095440 has 80 divisors (see below), whose sum is σ = 36279672000. Its totient is φ = 3110685696.

The previous prime is 11684095433. The next prime is 11684095453. The reversal of 11684095440 is 4459048611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11684095392 and 11684095401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109236 + ... + 187884.

It is an arithmetic number, because the mean of its divisors is an integer number (453495900).

Almost surely, 2^11684095440 is an apocalyptic number.

11684095440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11684095440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139836000).

11684095440 is an abundant number, since it is smaller than the sum of its proper divisors (24595576560).

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

11684095440 is a wasteful number, since it uses less digits than its factorization.

11684095440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79284 (or 79278 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 11684095440 in words is "eleven billion, six hundred eighty-four million, ninety-five thousand, four hundred forty".