85052160000 has 960 divisors, whose sum is σ = 331588857600. Its totient is φ = 21491712000.

The previous prime is 85052159921. The next prime is 85052160019. The reversal of 85052160000 is 6125058.

85052160000 is a `hidden beast` number, since 8 + 5 + 0 + 52 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 794879947 + ... + 794880053.

It is an arithmetic number, because the mean of its divisors is an integer number (345405060).

Almost surely, 2^85052160000 is an apocalyptic number.

85052160000 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 85052160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165794428800).

85052160000 is an abundant number, since it is smaller than the sum of its proper divisors (246536697600).

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

85052160000 is a wasteful number, since it uses less digits than its factorization.

85052160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 85052160000 its reverse (6125058), we get a palindrome (85058285058).

The spelling of 85052160000 in words is "eighty-five billion, fifty-two million, one hundred sixty thousand".