11450808000 has 560 divisors, whose sum is σ = 43495740288. Its totient is φ = 2972160000.

The previous prime is 11450807983. The next prime is 11450808029. The reversal of 11450808000 is 80805411.

It is a super-2 number, since 2×11450808000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26567785 + ... + 26568215.

Almost surely, 2^11450808000 is an apocalyptic number.

11450808000 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 11450808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21747870144).

11450808000 is an abundant number, since it is smaller than the sum of its proper divisors (32044932288).

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

11450808000 is an equidigital number, since it uses as much as digits as its factorization.

11450808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 11450808000 in words is "eleven billion, four hundred fifty million, eight hundred eight thousand".