10024810752 has 288 divisors, whose sum is σ = 30422568960. Its totient is φ = 2903040000.

The previous prime is 10024810711. The next prime is 10024810753. The reversal of 10024810752 is 25701842001.

It is a super-2 number, since 2×10024810752² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10024810753) 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 31 ways as a sum of consecutive naturals, for example, 26450499 + ... + 26450877.

It is an arithmetic number, because the mean of its divisors is an integer number (105633920).

Almost surely, 2^10024810752 is an apocalyptic number.

10024810752 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 10024810752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211284480).

10024810752 is an abundant number, since it is smaller than the sum of its proper divisors (20397758208).

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

10024810752 is a wasteful number, since it uses less digits than its factorization.

10024810752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 10024810752 in words is "ten billion, twenty-four million, eight hundred ten thousand, seven hundred fifty-two".