11686141520 has 80 divisors (see below), whose sum is σ = 28792800000. Its totient is φ = 4398626304.

The previous prime is 11686141483. The next prime is 11686141549. The reversal of 11686141520 is 2514168611.

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

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, 200681 + ... + 252279.

It is an arithmetic number, because the mean of its divisors is an integer number (359910000).

Almost surely, 2^11686141520 is an apocalyptic number.

11686141520 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 11686141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396400000).

11686141520 is an abundant number, since it is smaller than the sum of its proper divisors (17106658480).

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

11686141520 is a wasteful number, since it uses less digits than its factorization.

11686141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51780 (or 51774 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 11686141520 in words is "eleven billion, six hundred eighty-six million, one hundred forty-one thousand, five hundred twenty".