10773008800 has 288 divisors, whose sum is σ = 29068139520. Its totient is φ = 3881779200.

The previous prime is 10773008789. The next prime is 10773008839. The reversal of 10773008800 is 880037701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39752665 + ... + 39752935.

It is an arithmetic number, because the mean of its divisors is an integer number (100931040).

Almost surely, 2^10773008800 is an apocalyptic number.

10773008800 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 10773008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534069760).

10773008800 is an abundant number, since it is smaller than the sum of its proper divisors (18295130720).

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

10773008800 is a wasteful number, since it uses less digits than its factorization.

10773008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The spelling of 10773008800 in words is "ten billion, seven hundred seventy-three million, eight thousand, eight hundred".