86448180559104 has 2160 divisors, whose sum is σ = 352491499084032. Its totient is φ = 20523121901568.

The previous prime is 86448180559051. The next prime is 86448180559123. The reversal of 86448180559104 is 40195508184468.

It is a happy number.

86448180559104 is a `hidden beast` number, since 8 + 6 + 448 + 1 + 80 + 5 + 5 + 9 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9591494502 + ... + 9591503514.

Almost surely, 2^{86448180559104} is an apocalyptic number.

86448180559104 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 86448180559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176245749542016).

86448180559104 is an abundant number, since it is smaller than the sum of its proper divisors (266043318524928).

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

86448180559104 is a wasteful number, since it uses less digits than its factorization.

86448180559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9114 (or 9078 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 86448180559104 in words is "eighty-six trillion, four hundred forty-eight billion, one hundred eighty million, five hundred fifty-nine thousand, one hundred four".