82380684635010 has 96 divisors (see below), whose sum is σ = 216065775105648. Its totient is φ = 21776582983680.

The previous prime is 82380684634939. The next prime is 82380684635057. The reversal of 82380684635010 is 1053648608328.

82380684635010 is a `hidden beast` number, since 8 + 2 + 38 + 0 + 68 + 46 + 3 + 501 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 58802502821841 + 23578181813169 = 7668279^2 + 4855737^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3557997 + ... + 13319936.

Almost surely, 2^{82380684635010} is an apocalyptic number.

82380684635010 is an abundant number, since it is smaller than the sum of its proper divisors (133685090470638).

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

82380684635010 is a wasteful number, since it uses less digits than its factorization.

82380684635010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16878420 (or 16878417 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 82380684635010 in words is "eighty-two trillion, three hundred eighty billion, six hundred eighty-four million, six hundred thirty-five thousand, ten".