85059733412160 has 336 divisors, whose sum is σ = 315116373551616. Its totient is φ = 20935059664896.

The previous prime is 85059733412149. The next prime is 85059733412219. The reversal of 85059733412160 is 6121433795058.

It is a happy number.

85059733412160 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 97 + 334 + 1 + 216 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85059733412097 and 85059733412106.

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, 295894417 + ... + 296181743.

It is an arithmetic number, because the mean of its divisors is an integer number (937846349856).

It is a 1-persistent number, because it is pandigital, but 2⋅85059733412160 = 170119466824320 is not.

Almost surely, 2^{85059733412160} is an apocalyptic number.

85059733412160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85059733412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157558186775808).

85059733412160 is an abundant number, since it is smaller than the sum of its proper divisors (230056640139456).

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

85059733412160 is a wasteful number, since it uses less digits than its factorization.

85059733412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295270 (or 295257 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 85059733412160 in words is "eighty-five trillion, fifty-nine billion, seven hundred thirty-three million, four hundred twelve thousand, one hundred sixty".