86049441321360 has 320 divisors, whose sum is σ = 293777762734080. Its totient is φ = 20661853757440.

The previous prime is 86049441321359. The next prime is 86049441321407. The reversal of 86049441321360 is 6312314494068.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443504851 + ... + 443698829.

It is an arithmetic number, because the mean of its divisors is an integer number (918055508544).

Almost surely, 2^{86049441321360} is an apocalyptic number.

86049441321360 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 86049441321360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146888881367040).

86049441321360 is an abundant number, since it is smaller than the sum of its proper divisors (207728321412720).

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

86049441321360 is a wasteful number, since it uses less digits than its factorization.

86049441321360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195606 (or 195600 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 86049441321360 in words is "eighty-six trillion, forty-nine billion, four hundred forty-one million, three hundred twenty-one thousand, three hundred sixty".