86663754590400 has 1512 divisors, whose sum is σ = 351711405867120. Its totient is φ = 20174382858240.

The previous prime is 86663754590363. The next prime is 86663754590447. The reversal of 86663754590400 is 409545736668.

86663754590400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 33892745922 + ... + 33892748478.

Almost surely, 2^{86663754590400} is an apocalyptic number.

86663754590400 is a gapful number since it is divisible by the number (80) 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 86663754590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175855702933560).

86663754590400 is an abundant number, since it is smaller than the sum of its proper divisors (265047651276720).

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

86663754590400 is a wasteful number, since it uses less digits than its factorization.

86663754590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 86663754590400 in words is "eighty-six trillion, six hundred sixty-three billion, seven hundred fifty-four million, five hundred ninety thousand, four hundred".