86488482000000 has 896 divisors, whose sum is σ = 291509081136000. Its totient is φ = 22717440000000.

The previous prime is 86488481999989. The next prime is 86488482000001. The reversal of 86488482000000 is 28488468.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (86488482000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 215681999800 + ... + 215682000200.

It is an arithmetic number, because the mean of its divisors is an integer number (325344956625).

Almost surely, 2^{86488482000000} is an apocalyptic number.

86488482000000 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 86488482000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145754540568000).

86488482000000 is an abundant number, since it is smaller than the sum of its proper divisors (205020599136000).

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

86488482000000 is an equidigital number, since it uses as much as digits as its factorization.

86488482000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 86488482000000 in words is "eighty-six trillion, four hundred eighty-eight billion, four hundred eighty-two million", and thus it is an aban number.