85300366905 has 144 divisors (see below), whose sum is σ = 171242010576. Its totient is φ = 39028055040.

The previous prime is 85300366891. The next prime is 85300366919. The reversal of 85300366905 is 50966300358.

It is an interprime number because it is at equal distance from previous prime (85300366891) and next prime (85300366919).

It can be written as a sum of positive squares in 8 ways, for example, as 395731449 + 84904635456 = 19893^2 + 291384^2 .

It is not a de Polignac number, because 85300366905 - 2⁴ = 85300366889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11188995 + ... + 11196615.

It is an arithmetic number, because the mean of its divisors is an integer number (1189180629).

Almost surely, 2^85300366905 is an apocalyptic number.

It is an amenable number.

85300366905 is an abundant number, since it is smaller than the sum of its proper divisors (85941643671).

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

85300366905 is a wasteful number, since it uses less digits than its factorization.

85300366905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 85300366905 in words is "eighty-five billion, three hundred million, three hundred sixty-six thousand, nine hundred five".