10992283200 has 420 divisors, whose sum is σ = 40901729220. Its totient is φ = 2895298560.

The previous prime is 10992283189. The next prime is 10992283271. The reversal of 10992283200 is 238229901.

10992283200 is a `hidden beast` number, since 109 + 9 + 228 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1290821184 + 9701462016 = 35928^2 + 98496^2 .

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 59 ways as a sum of consecutive naturals, for example, 11533924 + ... + 11534876.

Almost surely, 2^10992283200 is an apocalyptic number.

10992283200 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 10992283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20450864610).

10992283200 is an abundant number, since it is smaller than the sum of its proper divisors (29909446020).

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

10992283200 is an equidigital number, since it uses as much as digits as its factorization.

10992283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10992283200 in words is "ten billion, nine hundred ninety-two million, two hundred eighty-three thousand, two hundred".