10799308800 has 1008 divisors, whose sum is σ = 47325637632. Its totient is φ = 2388787200.

The previous prime is 10799308799. The next prime is 10799308823. The reversal of 10799308800 is 880399701.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348364785 + ... + 348364815.

Almost surely, 2^10799308800 is an apocalyptic number.

10799308800 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 10799308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23662818816).

10799308800 is an abundant number, since it is smaller than the sum of its proper divisors (36526328832).

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

10799308800 is an frugal number, since it uses more digits than its factorization.

10799308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10799308800 in words is "ten billion, seven hundred ninety-nine million, three hundred eight thousand, eight hundred".