85195175120 has 40 divisors (see below), whose sum is σ = 216085946400. Its totient is φ = 30980063360.

The previous prime is 85195175069. The next prime is 85195175129. The reversal of 85195175120 is 2157159158.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85195175129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48405470 + ... + 48407229.

It is an arithmetic number, because the mean of its divisors is an integer number (5402148660).

Almost surely, 2^85195175120 is an apocalyptic number.

85195175120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85195175120 is an abundant number, since it is smaller than the sum of its proper divisors (130890771280).

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

85195175120 is a wasteful number, since it uses less digits than its factorization.

85195175120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96812723 (or 96812717 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 44.

The spelling of 85195175120 in words is "eighty-five billion, one hundred ninety-five million, one hundred seventy-five thousand, one hundred twenty".