11820608000 has 160 divisors (see below), whose sum is σ = 29660387328. Its totient is φ = 4698624000.

The previous prime is 11820607969. The next prime is 11820608003. The reversal of 11820608000 is 80602811.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (11820608003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12223517 + ... + 12224483.

Almost surely, 2^11820608000 is an apocalyptic number.

11820608000 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 11820608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14830193664).

11820608000 is an abundant number, since it is smaller than the sum of its proper divisors (17839779328).

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

11820608000 is an frugal number, since it uses more digits than its factorization.

11820608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The spelling of 11820608000 in words is "eleven billion, eight hundred twenty million, six hundred eight thousand".