82578688145307 has 12 divisors (see below), whose sum is σ = 119370214548000. Its totient is φ = 55010972351088.

The previous prime is 82578688145299. The next prime is 82578688145323. The reversal of 82578688145307 is 70354188687528.

82578688145307 is a `hidden beast` number, since 8 + 2 + 5 + 7 + 8 + 6 + 8 + 81 + 4 + 530 + 7 = 666.

It is not a de Polignac number, because 82578688145307 - 2³ = 82578688145299 is a prime.

It is a super-2 number, since 2×82578688145307² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82578688141307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3457188432 + ... + 3457212317.

It is an arithmetic number, because the mean of its divisors is an integer number (9947517879000).

Almost surely, 2^{82578688145307} is an apocalyptic number.

82578688145307 is a deficient number, since it is larger than the sum of its proper divisors (36791526402693).

82578688145307 is a wasteful number, since it uses less digits than its factorization.

82578688145307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914402082 (or 6914402079 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 72.

The spelling of 82578688145307 in words is "eighty-two trillion, five hundred seventy-eight billion, six hundred eighty-eight million, one hundred forty-five thousand, three hundred seven".