10829636047075 has 24 divisors (see below), whose sum is σ = 13468478364000. Its totient is φ = 8638104975360.

The previous prime is 10829636047073. The next prime is 10829636047079. The reversal of 10829636047075 is 57074063692801.

It is not a de Polignac number, because 10829636047075 - 2¹ = 10829636047073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10829636047073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15060586 + ... + 15763264.

It is an arithmetic number, because the mean of its divisors is an integer number (561186598500).

It is a 1-persistent number, because it is pandigital, but 2⋅10829636047075 = 21659272094150 is not.

Almost surely, 2^{10829636047075} is an apocalyptic number.

10829636047075 is a deficient number, since it is larger than the sum of its proper divisors (2638842316925).

10829636047075 is a wasteful number, since it uses less digits than its factorization.

10829636047075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704511 (or 704506 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 10829636047075 in words is "ten trillion, eight hundred twenty-nine billion, six hundred thirty-six million, forty-seven thousand, seventy-five".