820706872365 has 48 divisors (see below), whose sum is σ = 1506382645248. Its totient is φ = 411923240448.

The previous prime is 820706872261. The next prime is 820706872369. The reversal of 820706872365 is 563278607028.

820706872365 is a `hidden beast` number, since 8 + 207 + 0 + 6 + 8 + 72 + 365 = 666.

It is not a de Polignac number, because 820706872365 - 2¹⁴ = 820706855981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820706872369) 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, 8986924 + ... + 9077786.

It is an arithmetic number, because the mean of its divisors is an integer number (31382971776).

Almost surely, 2^820706872365 is an apocalyptic number.

820706872365 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

820706872365 is a deficient number, since it is larger than the sum of its proper divisors (685675772883).

820706872365 is a wasteful number, since it uses less digits than its factorization.

820706872365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102698 (or 102695 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 820706872365 in words is "eight hundred twenty billion, seven hundred six million, eight hundred seventy-two thousand, three hundred sixty-five".