82050557072900 has 72 divisors (see below), whose sum is σ = 192139570405440. Its totient is φ = 30233381466240.

The previous prime is 82050557072833. The next prime is 82050557072903. The reversal of 82050557072900 is 927075505028.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (82050557072903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64167530 + ... + 65433729.

It is an arithmetic number, because the mean of its divisors is an integer number (2668605144520).

Almost surely, 2^{82050557072900} is an apocalyptic number.

It is an amenable number.

82050557072900 is an abundant number, since it is smaller than the sum of its proper divisors (110089013332540).

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

82050557072900 is a wasteful number, since it uses less digits than its factorization.

82050557072900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129601773 (or 129601766 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 50.

The spelling of 82050557072900 in words is "eighty-two trillion, fifty billion, five hundred fifty-seven million, seventy-two thousand, nine hundred".