85727188512 has 288 divisors, whose sum is σ = 291603312000. Its totient is φ = 24267091968.

The previous prime is 85727188511. The next prime is 85727188531. The reversal of 85727188512 is 21588172758.

85727188512 is a `hidden beast` number, since 8 + 57 + 2 + 71 + 8 + 8 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (85727188511) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5925864 + ... + 5940312.

It is an arithmetic number, because the mean of its divisors is an integer number (1012511500).

Almost surely, 2^85727188512 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 85727188512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145801656000).

85727188512 is an abundant number, since it is smaller than the sum of its proper divisors (205876123488).

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

85727188512 is a wasteful number, since it uses less digits than its factorization.

85727188512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14590 (or 14570 counting only the distinct ones).

The product of its digits is 2508800, while the sum is 54.

The spelling of 85727188512 in words is "eighty-five billion, seven hundred twenty-seven million, one hundred eighty-eight thousand, five hundred twelve".