82730305284456 has 32 divisors (see below), whose sum is σ = 207278336024640. Its totient is φ = 27516425386368.

The previous prime is 82730305284439. The next prime is 82730305284481. The reversal of 82730305284456 is 65448250303728.

It is a junction number, because it is equal to n+sod(n) for n = 82730305284396 and 82730305284405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3771428916 + ... + 3771450851.

It is an arithmetic number, because the mean of its divisors is an integer number (6477448000770).

Almost surely, 2^{82730305284456} is an apocalyptic number.

It is an amenable number.

82730305284456 is an abundant number, since it is smaller than the sum of its proper divisors (124548030740184).

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

82730305284456 is a wasteful number, since it uses less digits than its factorization.

82730305284456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7542880233 (or 7542880229 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 57.

The spelling of 82730305284456 in words is "eighty-two trillion, seven hundred thirty billion, three hundred five million, two hundred eighty-four thousand, four hundred fifty-six".