85205066101152 has 96 divisors (see below), whose sum is σ = 230881436190720. Its totient is φ = 27485125128960.

The previous prime is 85205066101147. The next prime is 85205066101163. The reversal of 85205066101152 is 25110166050258.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283221403 + ... + 283522085.

It is an arithmetic number, because the mean of its divisors is an integer number (2405014960320).

Almost surely, 2^{85205066101152} is an apocalyptic number.

It is an amenable number.

85205066101152 is an abundant number, since it is smaller than the sum of its proper divisors (145676370089568).

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

85205066101152 is a wasteful number, since it uses less digits than its factorization.

85205066101152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395946 (or 395938 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 85205066101152 in words is "eighty-five trillion, two hundred five billion, sixty-six million, one hundred one thousand, one hundred fifty-two".