85871728635 has 512 divisors, whose sum is σ = 201016442880. Its totient is φ = 30191616000.

The previous prime is 85871728619. The next prime is 85871728651. The reversal of 85871728635 is 53682717858.

It is an interprime number because it is at equal distance from previous prime (85871728619) and next prime (85871728651).

It is not a de Polignac number, because 85871728635 - 2⁴ = 85871728619 is a prime.

It is a super-3 number, since 3×85871728635³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 850215085 + ... + 850215185.

It is an arithmetic number, because the mean of its divisors is an integer number (392610240).

Almost surely, 2^85871728635 is an apocalyptic number.

85871728635 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85871728635 is an abundant number, since it is smaller than the sum of its proper divisors (115144714245).

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

85871728635 is a wasteful number, since it uses less digits than its factorization.

85871728635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259.

The product of its digits is 22579200, while the sum is 60.

The spelling of 85871728635 in words is "eighty-five billion, eight hundred seventy-one million, seven hundred twenty-eight thousand, six hundred thirty-five".