10209499200 has 294 divisors, whose sum is σ = 37669696314. Its totient is φ = 2722222080.

The previous prime is 10209499199. The next prime is 10209499217. The reversal of 10209499200 is 299490201.

It can be written as a sum of positive squares in 3 ways, for example, as 2018525184 + 8190974016 = 44928^2 + 90504^2 .

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 41 ways as a sum of consecutive naturals, for example, 1162024 + ... + 1170776.

Almost surely, 2^10209499200 is an apocalyptic number.

10209499200 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 10209499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18834848157).

10209499200 is an abundant number, since it is smaller than the sum of its proper divisors (27460197114).

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

10209499200 is an frugal number, since it uses more digits than its factorization.

10209499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8793 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 10209499200 in words is "ten billion, two hundred nine million, four hundred ninety-nine thousand, two hundred".