10290235200 has 504 divisors, whose sum is σ = 39919668192. Its totient is φ = 2313400320.

The previous prime is 10290235177. The next prime is 10290235237. The reversal of 10290235200 is 253209201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15758074 + ... + 15758726.

Almost surely, 2^10290235200 is an apocalyptic number.

10290235200 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 10290235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19959834096).

10290235200 is an abundant number, since it is smaller than the sum of its proper divisors (29629432992).

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

10290235200 is a wasteful number, since it uses less digits than its factorization.

10290235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 10290235200 in words is "ten billion, two hundred ninety million, two hundred thirty-five thousand, two hundred".