86041812528 has 240 divisors, whose sum is σ = 277857216000. Its totient is φ = 24346828800.

The previous prime is 86041812503. The next prime is 86041812559. The reversal of 86041812528 is 82521814068.

86041812528 is a `hidden beast` number, since 8 + 6 + 0 + 41 + 81 + 2 + 528 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68340763 + ... + 68342021.

It is an arithmetic number, because the mean of its divisors is an integer number (1157738400).

Almost surely, 2^86041812528 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 86041812528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138928608000).

86041812528 is an abundant number, since it is smaller than the sum of its proper divisors (191815403472).

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

86041812528 is a wasteful number, since it uses less digits than its factorization.

86041812528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 86041812528 in words is "eighty-six billion, forty-one million, eight hundred twelve thousand, five hundred twenty-eight".