86352354105525 has 144 divisors (see below), whose sum is σ = 158064370710480. Its totient is φ = 45054484992000.

The previous prime is 86352354105499. The next prime is 86352354105553. The reversal of 86352354105525 is 52550145325368.

86352354105525 is a `hidden beast` number, since 8 + 6 + 3 + 5 + 2 + 3 + 5 + 4 + 105 + 525 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 4581406338084 + 81770947767441 = 2140422^2 + 9042729^2 .

It is not a de Polignac number, because 86352354105525 - 2⁶ = 86352354105461 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3019615527 + ... + 3019644123.

It is an arithmetic number, because the mean of its divisors is an integer number (1097669241045).

Almost surely, 2^{86352354105525} is an apocalyptic number.

It is an amenable number.

86352354105525 is a deficient number, since it is larger than the sum of its proper divisors (71712016604955).

86352354105525 is a wasteful number, since it uses less digits than its factorization.

86352354105525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30296 (or 30288 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 54.

The spelling of 86352354105525 in words is "eighty-six trillion, three hundred fifty-two billion, three hundred fifty-four million, one hundred five thousand, five hundred twenty-five".