86000840933280 has 2304 divisors, whose sum is σ = 369038509056000. Its totient is φ = 16630731177984.

The previous prime is 86000840933263. The next prime is 86000840933347. The reversal of 86000840933280 is 8233904800068.

It is a super-2 number, since 2×86000840933280² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24300885751 + ... + 24300889289.

It is an arithmetic number, because the mean of its divisors is an integer number (160172964000).

Almost surely, 2^{86000840933280} is an apocalyptic number.

86000840933280 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 86000840933280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184519254528000).

86000840933280 is an abundant number, since it is smaller than the sum of its proper divisors (283037668122720).

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

86000840933280 is a wasteful number, since it uses less digits than its factorization.

86000840933280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 86000840933280 in words is "eighty-six trillion, eight hundred forty million, nine hundred thirty-three thousand, two hundred eighty".