82701806028 has 48 divisors (see below), whose sum is σ = 193539024000. Its totient is φ = 27486181888.

The previous prime is 82701805997. The next prime is 82701806081. The reversal of 82701806028 is 82060810728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12360508 + ... + 12367196.

It is an arithmetic number, because the mean of its divisors is an integer number (4032063000).

Almost surely, 2^82701806028 is an apocalyptic number.

It is an amenable number.

82701806028 is an abundant number, since it is smaller than the sum of its proper divisors (110837217972).

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

82701806028 is a wasteful number, since it uses less digits than its factorization.

82701806028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 82701806028 in words is "eighty-two billion, seven hundred one million, eight hundred six thousand, twenty-eight".