85349771136 has 384 divisors, whose sum is σ = 291194904000. Its totient is φ = 23979110400.

The previous prime is 85349771069. The next prime is 85349771183. The reversal of 85349771136 is 63117794358.

85349771136 is a `hidden beast` number, since 8 + 53 + 497 + 71 + 1 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24101526 + ... + 24105066.

Almost surely, 2^85349771136 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 85349771136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145597452000).

85349771136 is an abundant number, since it is smaller than the sum of its proper divisors (205845132864).

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

85349771136 is a wasteful number, since it uses less digits than its factorization.

85349771136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3614 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 85349771136 in words is "eighty-five billion, three hundred forty-nine million, seven hundred seventy-one thousand, one hundred thirty-six".