11672165120 has 576 divisors, whose sum is σ = 38428508160. Its totient is φ = 3284582400.

The previous prime is 11672165119. The next prime is 11672165123. The reversal of 11672165120 is 2156127611.

11672165120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11672165120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11672165123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43070585 + ... + 43070855.

It is an arithmetic number, because the mean of its divisors is an integer number (66716160).

Almost surely, 2^11672165120 is an apocalyptic number.

11672165120 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 11672165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19214254080).

11672165120 is an abundant number, since it is smaller than the sum of its proper divisors (26756343040).

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

11672165120 is a wasteful number, since it uses less digits than its factorization.

11672165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 11672165120 in words is "eleven billion, six hundred seventy-two million, one hundred sixty-five thousand, one hundred twenty".