11688020172 has 108 divisors (see below), whose sum is σ = 30905290920. Its totient is φ = 3819981600.

The previous prime is 11688020161. The next prime is 11688020209. The reversal of 11688020172 is 27102088611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113475873 + ... + 113475975.

Almost surely, 2^11688020172 is an apocalyptic number.

11688020172 is a gapful number since it is divisible by the number (12) 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 11688020172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452645460).

11688020172 is an abundant number, since it is smaller than the sum of its proper divisors (19217270748).

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

11688020172 is a wasteful number, since it uses less digits than its factorization.

11688020172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11688020172 in words is "eleven billion, six hundred eighty-eight million, twenty thousand, one hundred seventy-two".