201113808000 has 1024 divisors, whose sum is σ = 815804421120. Its totient is φ = 42781900800.

The previous prime is 201113807969. The next prime is 201113808059. The reversal of 201113808000 is 808311102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 782543872 + ... + 782544128.

It is an arithmetic number, because the mean of its divisors is an integer number (796684005).

Almost surely, 2^201113808000 is an apocalyptic number.

201113808000 is a gapful number since it is divisible by the number (20) 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 201113808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407902210560).

201113808000 is an abundant number, since it is smaller than the sum of its proper divisors (614690613120).

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

201113808000 is a wasteful number, since it uses less digits than its factorization.

201113808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 201113808000 in words is "two hundred one billion, one hundred thirteen million, eight hundred eight thousand".