85334264588160 has 1152 divisors, whose sum is σ = 363743030851200. Its totient is φ = 19051297542144.

The previous prime is 85334264588149. The next prime is 85334264588207. The reversal of 85334264588160 is 6188546243358.

85334264588160 is a `hidden beast` number, since 8 + 5 + 3 + 3 + 42 + 6 + 4 + 588 + 1 + 6 + 0 = 666.

85334264588160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 327550431 + ... + 327810849.

It is an arithmetic number, because the mean of its divisors is an integer number (315749158725).

Almost surely, 2^{85334264588160} is an apocalyptic number.

85334264588160 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 85334264588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181871515425600).

85334264588160 is an abundant number, since it is smaller than the sum of its proper divisors (278408766263040).

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

85334264588160 is a wasteful number, since it uses less digits than its factorization.

85334264588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260510 (or 260479 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 85334264588160 in words is "eighty-five trillion, three hundred thirty-four billion, two hundred sixty-four million, five hundred eighty-eight thousand, one hundred sixty".