801103564800 has 2496 divisors, whose sum is σ = 3791020216320. Its totient is φ = 161021952000.

The previous prime is 801103564799. The next prime is 801103564829. The reversal of 801103564800 is 8465301108.

801103564800 is a `hidden beast` number, since 8 + 0 + 1 + 1 + 0 + 3 + 5 + 648 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11283148765 + ... + 11283148835.

Almost surely, 2^801103564800 is an apocalyptic number.

801103564800 is a gapful number since it is divisible by the number (80) 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 801103564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895510108160).

801103564800 is an abundant number, since it is smaller than the sum of its proper divisors (2989916651520).

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

801103564800 is a wasteful number, since it uses less digits than its factorization.

801103564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 801103564800 its reverse (8465301108), we get a palindrome (809568865908).

The spelling of 801103564800 in words is "eight hundred one billion, one hundred three million, five hundred sixty-four thousand, eight hundred".