10238659200 has 1536 divisors, whose sum is σ = 49782528000. Its totient is φ = 2015539200.

The previous prime is 10238659153. The next prime is 10238659201. The reversal of 10238659200 is 295683201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (10238659201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 538876791 + ... + 538876809.

It is an arithmetic number, because the mean of its divisors is an integer number (32410500).

Almost surely, 2^10238659200 is an apocalyptic number.

10238659200 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 10238659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24891264000).

10238659200 is an abundant number, since it is smaller than the sum of its proper divisors (39543868800).

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

10238659200 is an equidigital number, since it uses as much as digits as its factorization.

10238659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10238659200 in words is "ten billion, two hundred thirty-eight million, six hundred fifty-nine thousand, two hundred".