85409895312 has 600 divisors, whose sum is σ = 307266315840. Its totient is φ = 22769994240.

The previous prime is 85409895283. The next prime is 85409895317. The reversal of 85409895312 is 21359890458.

85409895312 is a `hidden beast` number, since 8 + 540 + 9 + 8 + 95 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85409895317) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85666398 + ... + 85667394.

Almost surely, 2^85409895312 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 85409895312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153633157920).

85409895312 is an abundant number, since it is smaller than the sum of its proper divisors (221856420528).

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

85409895312 is a wasteful number, since it uses less digits than its factorization.

85409895312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 85409895312 in words is "eighty-five billion, four hundred nine million, eight hundred ninety-five thousand, three hundred twelve".