85005579972 has 24 divisors (see below), whose sum is σ = 198864239616. Its totient is φ = 28261209568.

The previous prime is 85005579941. The next prime is 85005579977. The reversal of 85005579972 is 27997550058.

It is not an unprimeable number, because it can be changed into a prime (85005579977) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9243183 + ... + 9252374.

It is an arithmetic number, because the mean of its divisors is an integer number (8286009984).

Almost surely, 2^85005579972 is an apocalyptic number.

It is an amenable number.

85005579972 is an abundant number, since it is smaller than the sum of its proper divisors (113858659644).

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

85005579972 is a wasteful number, since it uses less digits than its factorization.

85005579972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18495947 (or 18495945 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 57.

The spelling of 85005579972 in words is "eighty-five billion, five million, five hundred seventy-nine thousand, nine hundred seventy-two".