10253203200 has 648 divisors, whose sum is σ = 40003720848. Its totient is φ = 2494955520.

The previous prime is 10253203171. The next prime is 10253203201. The reversal of 10253203200 is 230235201.

10253203200 is a `hidden beast` number, since 1 + 0 + 25 + 320 + 320 + 0 = 666.

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 (10253203201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36230259 + ... + 36230541.

Almost surely, 2^10253203200 is an apocalyptic number.

10253203200 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 10253203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001860424).

10253203200 is an abundant number, since it is smaller than the sum of its proper divisors (29750517648).

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

10253203200 is a wasteful number, since it uses less digits than its factorization.

10253203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 10253203200 its reverse (230235201), we get a palindrome (10483438401).

The spelling of 10253203200 in words is "ten billion, two hundred fifty-three million, two hundred three thousand, two hundred".