86502995970048 has 288 divisors, whose sum is σ = 286722244972800. Its totient is φ = 24611722297344.

The previous prime is 86502995970047. The next prime is 86502995970109. The reversal of 86502995970048 is 84007959920568.

86502995970048 is a `hidden beast` number, since 8 + 6 + 5 + 0 + 29 + 9 + 597 + 0 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (86502995970047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29434140 + ... + 32239332.

It is an arithmetic number, because the mean of its divisors is an integer number (995563350600).

Almost surely, 2^{86502995970048} 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 86502995970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143361122486400).

86502995970048 is an abundant number, since it is smaller than the sum of its proper divisors (200219249002752).

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

86502995970048 is a wasteful number, since it uses less digits than its factorization.

86502995970048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805467 (or 2805444 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 86502995970048 in words is "eighty-six trillion, five hundred two billion, nine hundred ninety-five million, nine hundred seventy thousand, forty-eight".