85667416375 has 16 divisors (see below), whose sum is σ = 108665616384. Its totient is φ = 67410420000.

The previous prime is 85667416369. The next prime is 85667416381. The reversal of 85667416375 is 57361476658.

It is an interprime number because it is at equal distance from previous prime (85667416369) and next prime (85667416381).

It is not a de Polignac number, because 85667416375 - 2²³ = 85659027767 is a prime.

It is a Duffinian number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5609911 + ... + 5625160.

It is an arithmetic number, because the mean of its divisors is an integer number (6791601024).

Almost surely, 2^85667416375 is an apocalyptic number.

85667416375 is a deficient number, since it is larger than the sum of its proper divisors (22998200009).

85667416375 is a wasteful number, since it uses less digits than its factorization.

85667416375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235147 (or 11235137 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 58.

The spelling of 85667416375 in words is "eighty-five billion, six hundred sixty-seven million, four hundred sixteen thousand, three hundred seventy-five".