10204207200 has 576 divisors, whose sum is σ = 40924880640. Its totient is φ = 2433024000.

The previous prime is 10204207159. The next prime is 10204207201. The reversal of 10204207200 is 270240201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204207201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15918880 + ... + 15919520.

It is an arithmetic number, because the mean of its divisors is an integer number (71050140).

Almost surely, 2^10204207200 is an apocalyptic number.

10204207200 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 10204207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20462440320).

10204207200 is an abundant number, since it is smaller than the sum of its proper divisors (30720673440).

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

10204207200 is a wasteful number, since it uses less digits than its factorization.

10204207200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 10204207200 its reverse (270240201), we get a palindrome (10474447401).

The spelling of 10204207200 in words is "ten billion, two hundred four million, two hundred seven thousand, two hundred".