10039182720 has 384 divisors, whose sum is σ = 39420315360. Its totient is φ = 2159345664.

The previous prime is 10039182697. The next prime is 10039182721. The reversal of 10039182720 is 2728193001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10039182721) 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 47 ways as a sum of consecutive naturals, for example, 1596222 + ... + 1602498.

Almost surely, 2^10039182720 is an apocalyptic number.

10039182720 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 10039182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19710157680).

10039182720 is an abundant number, since it is smaller than the sum of its proper divisors (29381132640).

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

10039182720 is a wasteful number, since it uses less digits than its factorization.

10039182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 10039182720 in words is "ten billion, thirty-nine million, one hundred eighty-two thousand, seven hundred twenty".