85975093120 has 64 divisors (see below), whose sum is σ = 234896248800. Its totient is φ = 29477173248.

The previous prime is 85975093111. The next prime is 85975093129. The reversal of 85975093120 is 2139057958.

It is an interprime number because it is at equal distance from previous prime (85975093111) and next prime (85975093129).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85975093129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9590955 + ... + 9599914.

Almost surely, 2^85975093120 is an apocalyptic number.

85975093120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85975093120 is an abundant number, since it is smaller than the sum of its proper divisors (148921155680).

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

85975093120 is a wasteful number, since it uses less digits than its factorization.

85975093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19190895 (or 19190883 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 49.

The spelling of 85975093120 in words is "eighty-five billion, nine hundred seventy-five million, ninety-three thousand, one hundred twenty".