10559808000 has 960 divisors, whose sum is σ = 45542585088. Its totient is φ = 2388787200.

The previous prime is 10559807971. The next prime is 10559808037. The reversal of 10559808000 is 80895501.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×10559808000³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108863952 + ... + 108864048.

Almost surely, 2^10559808000 is an apocalyptic number.

10559808000 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 10559808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22771292544).

10559808000 is an abundant number, since it is smaller than the sum of its proper divisors (34982777088).

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

10559808000 is an frugal number, since it uses more digits than its factorization.

10559808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 10559808000 in words is "ten billion, five hundred fifty-nine million, eight hundred eight thousand".