10038285786250 has 80 divisors (see below), whose sum is σ = 19326939805800. Its totient is φ = 3906258048000.

The previous prime is 10038285786229. The next prime is 10038285786259. The reversal of 10038285786250 is 5268758283001.

It can be written as a sum of positive squares in 20 ways, for example, as 3328263868609 + 6710021917641 = 1824353^2 + 2590371^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10038285786191 and 10038285786200.

It is not an unprimeable number, because it can be changed into a prime (10038285786259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 603507934 + ... + 603524566.

Almost surely, 2^{10038285786250} is an apocalyptic number.

10038285786250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10038285786250 is a deficient number, since it is larger than the sum of its proper divisors (9288654019550).

10038285786250 is a wasteful number, since it uses less digits than its factorization.

10038285786250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29741 (or 29726 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 55.

The spelling of 10038285786250 in words is "ten trillion, thirty-eight billion, two hundred eighty-five million, seven hundred eighty-six thousand, two hundred fifty".