11727166720 has 72 divisors (see below), whose sum is σ = 28111295520. Its totient is φ = 4687349760.

The previous prime is 11727166673. The next prime is 11727166721. The reversal of 11727166720 is 2766172711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11727166721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2315551 + ... + 2320609.

It is an arithmetic number, because the mean of its divisors is an integer number (390434660).

Almost surely, 2^11727166720 is an apocalyptic number.

11727166720 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 11727166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055647760).

11727166720 is an abundant number, since it is smaller than the sum of its proper divisors (16384128800).

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

11727166720 is an equidigital number, since it uses as much as digits as its factorization.

11727166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6891 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 40.

The spelling of 11727166720 in words is "eleven billion, seven hundred twenty-seven million, one hundred sixty-six thousand, seven hundred twenty".