10204330752 has 810 divisors, whose sum is σ = 39374228124. Its totient is φ = 2618542080.

The previous prime is 10204330723. The next prime is 10204330757. The reversal of 10204330752 is 25703340201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10204330757) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 122943703 + ... + 122943785.

Almost surely, 2^10204330752 is an apocalyptic number.

10204330752 is a gapful number since it is divisible by the number (12) 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 10204330752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19687114062).

10204330752 is an abundant number, since it is smaller than the sum of its proper divisors (29169897372).

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

10204330752 is an equidigital number, since it uses as much as digits as its factorization.

10204330752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 10204330752 its reverse (25703340201), we get a palindrome (35907670953).

The spelling of 10204330752 in words is "ten billion, two hundred four million, three hundred thirty thousand, seven hundred fifty-two".