82123761703728 has 40 divisors (see below), whose sum is σ = 224632642309488. Its totient is φ = 25764317396992.

The previous prime is 82123761703727. The next prime is 82123761703729. The reversal of 82123761703728 is 82730716732128.

It is an interprime number because it is at equal distance from previous prime (82123761703727) and next prime (82123761703729).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82123761703727) 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 7 ways as a sum of consecutive naturals, for example, 50320931601 + ... + 50320933232.

Almost surely, 2^{82123761703728} is an apocalyptic number.

It is an amenable number.

82123761703728 is an abundant number, since it is smaller than the sum of its proper divisors (142508880605760).

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

82123761703728 is a wasteful number, since it uses less digits than its factorization.

82123761703728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100641864861 (or 100641864855 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The spelling of 82123761703728 in words is "eighty-two trillion, one hundred twenty-three billion, seven hundred sixty-one million, seven hundred three thousand, seven hundred twenty-eight".