85071951965 has 384 divisors, whose sum is σ = 155103621120. Its totient is φ = 43893964800.

The previous prime is 85071951959. The next prime is 85071951967. The reversal of 85071951965 is 56915917058.

It is not a de Polignac number, because 85071951965 - 2⁴ = 85071951949 is a prime.

It is a super-2 number, since 2×85071951965² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85071951965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85071951967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1165369169 + ... + 1165369241.

It is an arithmetic number, because the mean of its divisors is an integer number (403915680).

Almost surely, 2^85071951965 is an apocalyptic number.

It is an amenable number.

85071951965 is a deficient number, since it is larger than the sum of its proper divisors (70031669155).

85071951965 is a wasteful number, since it uses less digits than its factorization.

85071951965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 56.

The spelling of 85071951965 in words is "eighty-five billion, seventy-one million, nine hundred fifty-one thousand, nine hundred sixty-five".