20135808000 has 1056 divisors, whose sum is σ = 90864004608. Its totient is φ = 4165632000.

The previous prime is 20135807977. The next prime is 20135808001. The reversal of 20135808000 is 80853102.

It is a happy number.

20135808000 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 580 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is not an unprimeable number, because it can be changed into a prime (20135808001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88703887 + ... + 88704113.

Almost surely, 2^20135808000 is an apocalyptic number.

20135808000 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 20135808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45432002304).

20135808000 is an abundant number, since it is smaller than the sum of its proper divisors (70728196608).

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

20135808000 is a wasteful number, since it uses less digits than its factorization.

20135808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 20135808000 in words is "twenty billion, one hundred thirty-five million, eight hundred eight thousand".