82018716599440 has 80 divisors (see below), whose sum is σ = 191476057515840. Its totient is φ = 32673086251520.

The previous prime is 82018716599423. The next prime is 82018716599447. The reversal of 82018716599440 is 4499561781028.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×82018716599440³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82018716599447) 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, 20991591 + ... + 24590329.

It is an arithmetic number, because the mean of its divisors is an integer number (2393450718948).

Almost surely, 2^{82018716599440} is an apocalyptic number.

82018716599440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82018716599440 is an abundant number, since it is smaller than the sum of its proper divisors (109457340916400).

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

82018716599440 is a wasteful number, since it uses less digits than its factorization.

82018716599440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599920 (or 3599914 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 64.

The spelling of 82018716599440 in words is "eighty-two trillion, eighteen billion, seven hundred sixteen million, five hundred ninety-nine thousand, four hundred forty".