86535492873984 has 2304 divisors, whose sum is σ = 347740323840000. Its totient is φ = 20995946496000.

The previous prime is 86535492873979. The next prime is 86535492874093. The reversal of 86535492873984 is 48937829453568.

86535492873984 is a `hidden beast` number, since 8 + 6 + 5 + 35 + 492 + 8 + 7 + 3 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23444997579 + ... + 23445001269.

It is an arithmetic number, because the mean of its divisors is an integer number (150928960000).

Almost surely, 2^{86535492873984} is an apocalyptic number.

86535492873984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86535492873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173870161920000).

86535492873984 is an abundant number, since it is smaller than the sum of its proper divisors (261204830966016).

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

86535492873984 is a wasteful number, since it uses less digits than its factorization.

86535492873984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3774 counting only the distinct ones).

The product of its digits is 12541132800, while the sum is 81.

The spelling of 86535492873984 in words is "eighty-six trillion, five hundred thirty-five billion, four hundred ninety-two million, eight hundred seventy-three thousand, nine hundred eighty-four".