10820757059 has 16 divisors (see below), whose sum is σ = 12832427520. Its totient is φ = 8931625920.

The previous prime is 10820757019. The next prime is 10820757067. The reversal of 10820757059 is 95075702801.

10820757059 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10820757059 - 2⁸ = 10820756803 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10820757019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231794 + ... + 274535.

It is an arithmetic number, because the mean of its divisors is an integer number (802026720).

Almost surely, 2^10820757059 is an apocalyptic number.

10820757059 is a deficient number, since it is larger than the sum of its proper divisors (2011670461).

10820757059 is an equidigital number, since it uses as much as digits as its factorization.

10820757059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506450.

The product of its (nonzero) digits is 176400, while the sum is 44.

The spelling of 10820757059 in words is "ten billion, eight hundred twenty million, seven hundred fifty-seven thousand, fifty-nine".