35200645124073 has 128 divisors (see below), whose sum is σ = 58891551634944. Its totient is φ = 18526066606080.

The previous prime is 35200645124027. The next prime is 35200645124087. The reversal of 35200645124073 is 37042154600253.

35200645124073 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 35200645124073 - 2²¹ = 35200643026921 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (35200645125073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2344670115 + ... + 2344685127.

It is an arithmetic number, because the mean of its divisors is an integer number (460090247148).

Almost surely, 2^{35200645124073} is an apocalyptic number.

35200645124073 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35200645124073 is a deficient number, since it is larger than the sum of its proper divisors (23690906510871).

35200645124073 is a wasteful number, since it uses less digits than its factorization.

35200645124073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17736 (or 17714 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 35200645124073 in words is "thirty-five trillion, two hundred billion, six hundred forty-five million, one hundred twenty-four thousand, seventy-three".