10291803200 has 252 divisors, whose sum is σ = 29632759632. Its totient is φ = 3507840000.

The previous prime is 10291803163. The next prime is 10291803227. The reversal of 10291803200 is 230819201.

It is a self number, because there is not a number n which added to its sum of digits gives 10291803200.

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 35 ways as a sum of consecutive naturals, for example, 19678139 + ... + 19678661.

It is an arithmetic number, because the mean of its divisors is an integer number (117590316).

Almost surely, 2^10291803200 is an apocalyptic number.

10291803200 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 10291803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14816379816).

10291803200 is an abundant number, since it is smaller than the sum of its proper divisors (19340956432).

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

10291803200 is a wasteful number, since it uses less digits than its factorization.

10291803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 10291803200 in words is "ten billion, two hundred ninety-one million, eight hundred three thousand, two hundred".