82983855886761 has 32 divisors (see below), whose sum is σ = 117575981568000. Its totient is φ = 51947986247168.

The previous prime is 82983855886741. The next prime is 82983855886787. The reversal of 82983855886761 is 16768855838928.

It is a cyclic number.

It is not a de Polignac number, because 82983855886761 - 2²⁵ = 82983822332329 is a prime.

It is a super-2 number, since 2×82983855886761² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82983855886741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11248296 + ... + 17102393.

It is an arithmetic number, because the mean of its divisors is an integer number (3674249424000).

Almost surely, 2^{82983855886761} is an apocalyptic number.

It is an amenable number.

82983855886761 is a deficient number, since it is larger than the sum of its proper divisors (34592125681239).

82983855886761 is a wasteful number, since it uses less digits than its factorization.

82983855886761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28351493.

The product of its digits is 11147673600, while the sum is 84.

The spelling of 82983855886761 in words is "eighty-two trillion, nine hundred eighty-three billion, eight hundred fifty-five million, eight hundred eighty-six thousand, seven hundred sixty-one".