86143973713920 has 336 divisors, whose sum is σ = 309900853587780. Its totient is φ = 22971724333056.

The previous prime is 86143973713883. The next prime is 86143973713933. The reversal of 86143973713920 is 2931737934168.

It is a happy number.

86143973713920 is a `hidden beast` number, since 8 + 6 + 143 + 97 + 371 + 39 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84653542941696 + 1490430772224 = 9200736^2 + 1220832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1695072 + ... + 13234848.

Almost surely, 2^{86143973713920} is an apocalyptic number.

86143973713920 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 86143973713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154950426793890).

86143973713920 is an abundant number, since it is smaller than the sum of its proper divisors (223756879873860).

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

86143973713920 is an equidigital number, since it uses as much as digits as its factorization.

86143973713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11539822 (or 11539787 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 86143973713920 in words is "eighty-six trillion, one hundred forty-three billion, nine hundred seventy-three million, seven hundred thirteen thousand, nine hundred twenty".