82688048160 has 48 divisors (see below), whose sum is σ = 260467353216. Its totient is φ = 22050146048.

The previous prime is 82688048147. The next prime is 82688048173. The reversal of 82688048160 is 6184088628.

It is an interprime number because it is at equal distance from previous prime (82688048147) and next prime (82688048173).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86132904 + ... + 86133863.

It is an arithmetic number, because the mean of its divisors is an integer number (5426403192).

Almost surely, 2^82688048160 is an apocalyptic number.

82688048160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82688048160 is an abundant number, since it is smaller than the sum of its proper divisors (177779305056).

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

82688048160 is a wasteful number, since it uses less digits than its factorization.

82688048160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172266785 (or 172266777 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 82688048160 in words is "eighty-two billion, six hundred eighty-eight million, forty-eight thousand, one hundred sixty".