82735856251743 has 16 divisors (see below), whose sum is σ = 110668731077216. Its totient is φ = 54980115240960.

The previous prime is 82735856251667. The next prime is 82735856251747. The reversal of 82735856251743 is 34715265853728.

It is not a de Polignac number, because 82735856251743 - 2²⁴ = 82735839474527 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82735856251747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59256621 + ... + 60636777.

It is an arithmetic number, because the mean of its divisors is an integer number (6916795692326).

Almost surely, 2^{82735856251743} is an apocalyptic number.

82735856251743 is a deficient number, since it is larger than the sum of its proper divisors (27932874825473).

82735856251743 is a wasteful number, since it uses less digits than its factorization.

82735856251743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444314.

The product of its digits is 338688000, while the sum is 66.

The spelling of 82735856251743 in words is "eighty-two trillion, seven hundred thirty-five billion, eight hundred fifty-six million, two hundred fifty-one thousand, seven hundred forty-three".