11766181920 has 96 divisors (see below), whose sum is σ = 37167258240. Its totient is φ = 3128862720.

The previous prime is 11766181909. The next prime is 11766181937. The reversal of 11766181920 is 2918166711.

It is a tau number, because it is divible by the number of its divisors (96).

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, 138180 + ... + 206460.

It is an arithmetic number, because the mean of its divisors is an integer number (387158940).

Almost surely, 2^11766181920 is an apocalyptic number.

11766181920 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 11766181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18583629120).

11766181920 is an abundant number, since it is smaller than the sum of its proper divisors (25401076320).

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

11766181920 is a wasteful number, since it uses less digits than its factorization.

11766181920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68658 (or 68650 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 11766181920 in words is "eleven billion, seven hundred sixty-six million, one hundred eighty-one thousand, nine hundred twenty".