86220233486080 has 288 divisors, whose sum is σ = 216252451719360. Its totient is φ = 32894101094400.

The previous prime is 86220233486071. The next prime is 86220233486081. The reversal of 86220233486080 is 8068433202268.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86220233486081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1660834204 + ... + 1660886116.

It is an arithmetic number, because the mean of its divisors is an integer number (750876568470).

Almost surely, 2^{86220233486080} is an apocalyptic number.

86220233486080 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 86220233486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108126225859680).

86220233486080 is an abundant number, since it is smaller than the sum of its proper divisors (130032218233280).

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

86220233486080 is a wasteful number, since it uses less digits than its factorization.

86220233486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52507 (or 52493 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 52.

The spelling of 86220233486080 in words is "eighty-six trillion, two hundred twenty billion, two hundred thirty-three million, four hundred eighty-six thousand, eighty".