85398669312 has 384 divisors, whose sum is σ = 264931430400. Its totient is φ = 24176230400.

The previous prime is 85398669277. The next prime is 85398669313. The reversal of 85398669312 is 21396689358.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (85398669313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274593637 + ... + 274593947.

It is an arithmetic number, because the mean of its divisors is an integer number (689925600).

Almost surely, 2^85398669312 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 85398669312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132465715200).

85398669312 is an abundant number, since it is smaller than the sum of its proper divisors (179532761088).

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

85398669312 is a wasteful number, since it uses less digits than its factorization.

85398669312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 583 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 60.

The spelling of 85398669312 in words is "eighty-five billion, three hundred ninety-eight million, six hundred sixty-nine thousand, three hundred twelve".