10000195200 has 480 divisors, whose sum is σ = 37843163820. Its totient is φ = 2598912000.

The previous prime is 10000195189. The next prime is 10000195201. The reversal of 10000195200 is 259100001.

It can be written as a sum of positive squares in 6 ways, for example, as 1678377024 + 8321818176 = 40968^2 + 91224^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10000195201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10626730 + ... + 10627670.

Almost surely, 2^10000195200 is an apocalyptic number.

10000195200 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 10000195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18921581910).

10000195200 is an abundant number, since it is smaller than the sum of its proper divisors (27842968620).

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

10000195200 is an equidigital number, since it uses as much as digits as its factorization.

10000195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 10000195200 its reverse (259100001), we get a palindrome (10259295201).

The spelling of 10000195200 in words is "ten billion, one hundred ninety-five thousand, two hundred".