86093215780320 has 1296 divisors, whose sum is σ = 349459620073200. Its totient is φ = 19244228935680.

The previous prime is 86093215780219. The next prime is 86093215780399. The reversal of 86093215780320 is 2308751239068.

86093215780320 is a `hidden beast` number, since 8 + 6 + 0 + 9 + 32 + 1 + 578 + 0 + 32 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 50672874831 + ... + 50672876529.

It is an arithmetic number, because the mean of its divisors is an integer number (269644768575).

Almost surely, 2^{86093215780320} is an apocalyptic number.

86093215780320 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 86093215780320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174729810036600).

86093215780320 is an abundant number, since it is smaller than the sum of its proper divisors (263366404292880).

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

86093215780320 is a wasteful number, since it uses less digits than its factorization.

86093215780320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 86093215780320 in words is "eighty-six trillion, ninety-three billion, two hundred fifteen million, seven hundred eighty thousand, three hundred twenty".