86113602883584 has 832 divisors, whose sum is σ = 264571239628800. Its totient is φ = 27663472263168.

The previous prime is 86113602883549. The next prime is 86113602883589. The reversal of 86113602883584 is 48538820631168.

86113602883584 is a `hidden beast` number, since 8 + 6 + 1 + 13 + 602 + 8 + 8 + 3 + 5 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86113602883589) 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 63 ways as a sum of consecutive naturals, for example, 127954833072 + ... + 127954833744.

It is an arithmetic number, because the mean of its divisors is an integer number (317994278400).

Almost surely, 2^{86113602883584} 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 86113602883584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132285619814400).

86113602883584 is an abundant number, since it is smaller than the sum of its proper divisors (178457636745216).

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

86113602883584 is a wasteful number, since it uses less digits than its factorization.

86113602883584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 86113602883584 in words is "eighty-six trillion, one hundred thirteen billion, six hundred two million, eight hundred eighty-three thousand, five hundred eighty-four".