85646518272 has 1152 divisors, whose sum is σ = 327075840000. Its totient is φ = 21459271680.

The previous prime is 85646518271. The next prime is 85646518273. The reversal of 85646518272 is 27281564658.

85646518272 is a `hidden beast` number, since 8 + 56 + 4 + 6 + 518 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (85646518271) and next prime (85646518273).

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

It is not an unprimeable number, because it can be changed into a prime (85646518271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2762790897 + ... + 2762790927.

It is an arithmetic number, because the mean of its divisors is an integer number (283920000).

Almost surely, 2^85646518272 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 85646518272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920000).

85646518272 is an abundant number, since it is smaller than the sum of its proper divisors (241429321728).

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

85646518272 is a wasteful number, since it uses less digits than its factorization.

85646518272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 85 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 85646518272 in words is "eighty-five billion, six hundred forty-six million, five hundred eighteen thousand, two hundred seventy-two".