82965722756928 has 112 divisors (see below), whose sum is σ = 240022294631616. Its totient is φ = 25083065180160.

The previous prime is 82965722756921. The next prime is 82965722756977.

82965722756928 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82965722756928² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82965722756921) 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, 44446951 + ... + 46275942.

It is an arithmetic number, because the mean of its divisors is an integer number (2143056202068).

Almost surely, 2^{82965722756928} is an apocalyptic number.

82965722756928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82965722756928 is an abundant number, since it is smaller than the sum of its proper divisors (157056571874688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82965722756928 is a wasteful number, since it uses less digits than its factorization.

82965722756928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90723352 (or 90723342 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 78.

The spelling of 82965722756928 in words is "eighty-two trillion, nine hundred sixty-five billion, seven hundred twenty-two million, seven hundred fifty-six thousand, nine hundred twenty-eight".