85185313155072 has 768 divisors, whose sum is σ = 279101702880000. Its totient is φ = 25506323103744.

The previous prime is 85185313154993. The next prime is 85185313155077. The reversal of 85185313155072 is 27055131358158.

It is a happy number.

85185313155072 is a `hidden beast` number, since 8 + 5 + 1 + 8 + 5 + 3 + 13 + 1 + 550 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (85185313155077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8562193554 + ... + 8562203502.

It is an arithmetic number, because the mean of its divisors is an integer number (363413675625).

Almost surely, 2^{85185313155072} 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 85185313155072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139550851440000).

85185313155072 is an abundant number, since it is smaller than the sum of its proper divisors (193916389724928).

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

85185313155072 is a wasteful number, since it uses less digits than its factorization.

85185313155072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10313 (or 10287 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 85185313155072 in words is "eighty-five trillion, one hundred eighty-five billion, three hundred thirteen million, one hundred fifty-five thousand, seventy-two".