85686001272 has 192 divisors, whose sum is σ = 252298126080. Its totient is φ = 26166260736.

The previous prime is 85686001253. The next prime is 85686001273. The reversal of 85686001272 is 27210068658.

85686001272 is a `hidden beast` number, since 8 + 568 + 6 + 0 + 0 + 12 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85686001273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16155373 + ... + 16160675.

It is an arithmetic number, because the mean of its divisors is an integer number (1314052740).

Almost surely, 2^85686001272 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 85686001272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126149063040).

85686001272 is an abundant number, since it is smaller than the sum of its proper divisors (166612124808).

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

85686001272 is a wasteful number, since it uses less digits than its factorization.

85686001272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 85686001272 in words is "eighty-five billion, six hundred eighty-six million, one thousand, two hundred seventy-two".