82550558880 has 144 divisors (see below), whose sum is σ = 281782126080. Its totient is φ = 22007361024.

The previous prime is 82550558873. The next prime is 82550558887. The reversal of 82550558880 is 8885505528.

82550558880 is a `hidden beast` number, since 8 + 2 + 5 + 5 + 0 + 558 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (82550558873) and next prime (82550558887).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (82550558887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7884529 + ... + 7894991.

It is an arithmetic number, because the mean of its divisors is an integer number (1956820320).

Almost surely, 2^82550558880 is an apocalyptic number.

82550558880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82550558880 is an abundant number, since it is smaller than the sum of its proper divisors (199231567200).

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

82550558880 is a wasteful number, since it uses less digits than its factorization.

82550558880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15963 (or 15952 counting only the distinct ones).

The product of its (nonzero) digits is 5120000, while the sum is 54.

The spelling of 82550558880 in words is "eighty-two billion, five hundred fifty million, five hundred fifty-eight thousand, eight hundred eighty".