82730716732128 has 48 divisors (see below), whose sum is σ = 219917095130880. Its totient is φ = 27227830820736.

The previous prime is 82730716732127. The next prime is 82730716732129. The reversal of 82730716732128 is 82123761703728.

It is an interprime number because it is at equal distance from previous prime (82730716732127) and next prime (82730716732129).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82730716732127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5454285450 + ... + 5454300617.

It is an arithmetic number, because the mean of its divisors is an integer number (4581606148560).

Almost surely, 2^{82730716732128} is an apocalyptic number.

It is an amenable number.

82730716732128 is an abundant number, since it is smaller than the sum of its proper divisors (137186378398752).

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

82730716732128 is a wasteful number, since it uses less digits than its factorization.

82730716732128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10908586159 (or 10908586151 counting only the distinct ones).

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

The spelling of 82730716732128 in words is "eighty-two trillion, seven hundred thirty billion, seven hundred sixteen million, seven hundred thirty-two thousand, one hundred twenty-eight".