85011612158592 has 1792 divisors, whose sum is σ = 317654830080000. Its totient is φ = 22104015298560.

The previous prime is 85011612158587. The next prime is 85011612158597. The reversal of 85011612158592 is 29585121611058.

85011612158592 is a `hidden beast` number, since 8 + 5 + 0 + 1 + 1 + 612 + 15 + 8 + 5 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (85011612158587) and next prime (85011612158597).

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 (85011612158597) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 57324080283 + ... + 57324081765.

It is an arithmetic number, because the mean of its divisors is an integer number (177262740000).

Almost surely, 2^{85011612158592} 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 85011612158592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158827415040000).

85011612158592 is an abundant number, since it is smaller than the sum of its proper divisors (232643217921408).

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

85011612158592 is a wasteful number, since it uses less digits than its factorization.

85011612158592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 54.

The spelling of 85011612158592 in words is "eighty-five trillion, eleven billion, six hundred twelve million, one hundred fifty-eight thousand, five hundred ninety-two".