82415616548080 has 40 divisors (see below), whose sum is σ = 191666300397552. Its totient is φ = 32957645858304.

The previous prime is 82415616548039. The next prime is 82415616548123. The reversal of 82415616548080 is 8084561651428.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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, 134078334 + ... + 134691613.

Almost surely, 2^{82415616548080} is an apocalyptic number.

82415616548080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82415616548080 is an abundant number, since it is smaller than the sum of its proper divisors (109250683849472).

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

82415616548080 is a wasteful number, since it uses less digits than its factorization.

82415616548080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268773793 (or 268773787 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 58.

The spelling of 82415616548080 in words is "eighty-two trillion, four hundred fifteen billion, six hundred sixteen million, five hundred forty-eight thousand, eighty".