82800638428797 has 48 divisors (see below), whose sum is σ = 123622389596160. Its totient is φ = 53372817197856.

The previous prime is 82800638428777. The next prime is 82800638428799. The reversal of 82800638428797 is 79782483600828.

82800638428797 is a `hidden beast` number, since 8 + 2 + 80 + 0 + 6 + 38 + 428 + 7 + 97 = 666.

It is not a de Polignac number, because 82800638428797 - 2¹¹ = 82800638426749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82800638428799) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1499793768 + ... + 1499848974.

It is an arithmetic number, because the mean of its divisors is an integer number (2575466449920).

Almost surely, 2^{82800638428797} is an apocalyptic number.

It is an amenable number.

82800638428797 is a deficient number, since it is larger than the sum of its proper divisors (40821751167363).

82800638428797 is a wasteful number, since it uses less digits than its factorization.

82800638428797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98062 (or 98059 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 82800638428797 in words is "eighty-two trillion, eight hundred billion, six hundred thirty-eight million, four hundred twenty-eight thousand, seven hundred ninety-seven".