85347162120 has 128 divisors (see below), whose sum is σ = 280642682880. Its totient is φ = 20592096000.

The previous prime is 85347162113. The next prime is 85347162133. The reversal of 85347162120 is 2126174358.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 125305 + ... + 431735.

It is an arithmetic number, because the mean of its divisors is an integer number (2192520960).

Almost surely, 2^85347162120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85347162120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140321341440).

85347162120 is an abundant number, since it is smaller than the sum of its proper divisors (195295520760).

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

85347162120 is a wasteful number, since it uses less digits than its factorization.

85347162120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306667 (or 306663 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 85347162120 in words is "eighty-five billion, three hundred forty-seven million, one hundred sixty-two thousand, one hundred twenty".