86180754828672 has 768 divisors, whose sum is σ = 301967294054400. Its totient is φ = 23075012505600.

The previous prime is 86180754828569. The next prime is 86180754828673. The reversal of 86180754828672 is 27682845708168.

86180754828672 is a `hidden beast` number, since 8 + 6 + 1 + 8 + 0 + 7 + 548 + 2 + 8 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 86180754828672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86180754828673) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 988143147 + ... + 988230357.

It is an arithmetic number, because the mean of its divisors is an integer number (393186580800).

Almost surely, 2^{86180754828672} 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 86180754828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150983647027200).

86180754828672 is an abundant number, since it is smaller than the sum of its proper divisors (215786539225728).

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

86180754828672 is a wasteful number, since it uses less digits than its factorization.

86180754828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87395 (or 87380 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 86180754828672 in words is "eighty-six trillion, one hundred eighty billion, seven hundred fifty-four million, eight hundred twenty-eight thousand, six hundred seventy-two".