10799588800 has 504 divisors, whose sum is σ = 36008368928. Its totient is φ = 3102105600.

The previous prime is 10799588791. The next prime is 10799588801. The reversal of 10799588800 is 888599701.

It is a super-2 number, since 2×10799588800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10799588801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17617294 + ... + 17617906.

Almost surely, 2^10799588800 is an apocalyptic number.

10799588800 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 10799588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004184464).

10799588800 is an abundant number, since it is smaller than the sum of its proper divisors (25208780128).

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

10799588800 is a wasteful number, since it uses less digits than its factorization.

10799588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 55.

The spelling of 10799588800 in words is "ten billion, seven hundred ninety-nine million, five hundred eighty-eight thousand, eight hundred".