85886986752 has 360 divisors, whose sum is σ = 293826563316. Its totient is φ = 24072781824.

The previous prime is 85886986751. The next prime is 85886986769. The reversal of 85886986752 is 25768968858.

It can be written as a sum of positive squares in 2 ways, for example, as 74254070016 + 11632916736 = 272496^2 + 107856^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (85886986751) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11963388 + ... + 11970564.

Almost surely, 2^85886986752 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 85886986752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146913281658).

85886986752 is an abundant number, since it is smaller than the sum of its proper divisors (207939576564).

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

85886986752 is a wasteful number, since it uses less digits than its factorization.

85886986752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7242 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 72.

The spelling of 85886986752 in words is "eighty-five billion, eight hundred eighty-six million, nine hundred eighty-six thousand, seven hundred fifty-two".