85842875454336 has 4608 divisors, whose sum is σ = 376585561497600. Its totient is φ = 18744514560000.

The previous prime is 85842875454277. The next prime is 85842875454383. The reversal of 85842875454336 is 63345457824858.

85842875454336 is a `hidden beast` number, since 8 + 5 + 8 + 4 + 2 + 8 + 7 + 545 + 43 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 568495863861 + ... + 568495864011.

It is an arithmetic number, because the mean of its divisors is an integer number (81724297200).

Almost surely, 2^{85842875454336} 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 85842875454336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188292780748800).

85842875454336 is an abundant number, since it is smaller than the sum of its proper divisors (290742686043264).

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

85842875454336 is a wasteful number, since it uses less digits than its factorization.

85842875454336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 237 counting only the distinct ones).

The product of its digits is 3096576000, while the sum is 72.

The spelling of 85842875454336 in words is "eighty-five trillion, eight hundred forty-two billion, eight hundred seventy-five million, four hundred fifty-four thousand, three hundred thirty-six".