86399163648000 has 3072 divisors, whose sum is σ = 403402258022400. Its totient is φ = 17774700134400.

The previous prime is 86399163647969. The next prime is 86399163648001. The reversal of 86399163648000 is 84636199368.

86399163648000 is a `hidden beast` number, since 8 + 6 + 3 + 9 + 91 + 63 + 6 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is not an unprimeable number, because it can be changed into a prime (86399163648001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18918141717 + ... + 18918146283.

It is an arithmetic number, because the mean of its divisors is an integer number (131315839200).

Almost surely, 2^{86399163648000} is an apocalyptic number.

86399163648000 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 86399163648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201701129011200).

86399163648000 is an abundant number, since it is smaller than the sum of its proper divisors (317003094374400).

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

86399163648000 is a wasteful number, since it uses less digits than its factorization.

86399163648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4660 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 86399163648000 in words is "eighty-six trillion, three hundred ninety-nine billion, one hundred sixty-three million, six hundred forty-eight thousand".