11767317120 has 640 divisors, whose sum is σ = 47689488000. Its totient is φ = 2741133312.

The previous prime is 11767317119. The next prime is 11767317151. The reversal of 11767317120 is 2171376711.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 12804021 + ... + 12804939.

It is an arithmetic number, because the mean of its divisors is an integer number (74514825).

Almost surely, 2^11767317120 is an apocalyptic number.

11767317120 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 11767317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23844744000).

11767317120 is an abundant number, since it is smaller than the sum of its proper divisors (35922170880).

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

11767317120 is a wasteful number, since it uses less digits than its factorization.

11767317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The spelling of 11767317120 in words is "eleven billion, seven hundred sixty-seven million, three hundred seventeen thousand, one hundred twenty".