11794688120 has 64 divisors (see below), whose sum is σ = 27399859200. Its totient is φ = 4566481920.

The previous prime is 11794688119. The next prime is 11794688137. The reversal of 11794688120 is 2188649711.

It is a super-3 number, since 3×11794688120³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 179966 + ... + 236594.

It is an arithmetic number, because the mean of its divisors is an integer number (428122800).

Almost surely, 2^11794688120 is an apocalyptic number.

11794688120 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 11794688120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13699929600).

11794688120 is an abundant number, since it is smaller than the sum of its proper divisors (15605171080).

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

11794688120 is a wasteful number, since it uses less digits than its factorization.

11794688120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56808 (or 56804 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 47.

The spelling of 11794688120 in words is "eleven billion, seven hundred ninety-four million, six hundred eighty-eight thousand, one hundred twenty".