85293961796160 has 448 divisors, whose sum is σ = 324738238406400. Its totient is φ = 20950465757184.

The previous prime is 85293961796123. The next prime is 85293961796189. The reversal of 85293961796160 is 6169716939258.

85293961796160 is a `hidden beast` number, since 8 + 5 + 2 + 9 + 396 + 1 + 79 + 6 + 160 = 666.

It is a super-2 number, since 2×85293961796160² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51640396 + ... + 53266484.

It is an arithmetic number, because the mean of its divisors is an integer number (724862139300).

Almost surely, 2^{85293961796160} is an apocalyptic number.

85293961796160 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 85293961796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162369119203200).

85293961796160 is an abundant number, since it is smaller than the sum of its proper divisors (239444276610240).

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

85293961796160 is a wasteful number, since it uses less digits than its factorization.

85293961796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626595 (or 1626579 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 85293961796160 in words is "eighty-five trillion, two hundred ninety-three billion, nine hundred sixty-one million, seven hundred ninety-six thousand, one hundred sixty".