86571135756 has 288 divisors, whose sum is σ = 261338208768. Its totient is φ = 23651896320.

The previous prime is 86571135743. The next prime is 86571135757. The reversal of 86571135756 is 65753117568.

It is a happy number.

86571135756 is a `hidden beast` number, since 8 + 6 + 57 + 1 + 13 + 575 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (86571135757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134635971 + ... + 134636613.

It is an arithmetic number, because the mean of its divisors is an integer number (907424336).

Almost surely, 2^86571135756 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 86571135756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130669104384).

86571135756 is an abundant number, since it is smaller than the sum of its proper divisors (174767073012).

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

86571135756 is a wasteful number, since it uses less digits than its factorization.

86571135756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 936 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The spelling of 86571135756 in words is "eighty-six billion, five hundred seventy-one million, one hundred thirty-five thousand, seven hundred fifty-six".