86483843671680 has 1536 divisors, whose sum is σ = 396764065152000. Its totient is φ = 16851863863296.

The previous prime is 86483843671649. The next prime is 86483843671699. The reversal of 86483843671680 is 8617634838468.

It is a happy number.

86483843671680 is a `hidden beast` number, since 8 + 6 + 48 + 3 + 8 + 436 + 71 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86483843671599 and 86483843671608.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 349491036 + ... + 349738404.

It is an arithmetic number, because the mean of its divisors is an integer number (258309938250).

Almost surely, 2^{86483843671680} is an apocalyptic number.

86483843671680 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 86483843671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198382032576000).

86483843671680 is an abundant number, since it is smaller than the sum of its proper divisors (310280221480320).

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

86483843671680 is a wasteful number, since it uses less digits than its factorization.

86483843671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247466 (or 247451 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 86483843671680 in words is "eighty-six trillion, four hundred eighty-three billion, eight hundred forty-three million, six hundred seventy-one thousand, six hundred eighty".