11779986816 has 432 divisors, whose sum is σ = 38575342260. Its totient is φ = 3580941312.

The previous prime is 11779986809. The next prime is 11779986821. The reversal of 11779986816 is 61868997711.

It is a tau number, because it is divible by the number of its divisors (432).

Its product of digits (9144576) is a multiple of the sum of its prime factors (147).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 141927511 + ... + 141927593.

Almost surely, 2^11779986816 is an apocalyptic number.

11779986816 is a gapful number since it is divisible by the number (16) 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 11779986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19287671130).

11779986816 is an abundant number, since it is smaller than the sum of its proper divisors (26795355444).

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

11779986816 is an frugal number, since it uses more digits than its factorization.

11779986816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 101 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 63.

The spelling of 11779986816 in words is "eleven billion, seven hundred seventy-nine million, nine hundred eighty-six thousand, eight hundred sixteen".