10399795200 has 288 divisors, whose sum is σ = 38205367200. Its totient is φ = 2772910080.

The previous prime is 10399795187. The next prime is 10399795201. The reversal of 10399795200 is 259799301.

It is a happy number.

10399795200 is a `hidden beast` number, since 1 + 0 + 39 + 97 + 9 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (10399795201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1378639 + ... + 1386161.

It is an arithmetic number, because the mean of its divisors is an integer number (132657525).

Almost surely, 2^10399795200 is an apocalyptic number.

10399795200 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 10399795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19102683600).

10399795200 is an abundant number, since it is smaller than the sum of its proper divisors (27805572000).

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

10399795200 is an equidigital number, since it uses as much as digits as its factorization.

10399795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 10399795200 in words is "ten billion, three hundred ninety-nine million, seven hundred ninety-five thousand, two hundred".