86066655870720 has 1152 divisors, whose sum is σ = 328059370598400. Its totient is φ = 18814663655424.

The previous prime is 86066655870659. The next prime is 86066655870733. The reversal of 86066655870720 is 2707855666068.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42210227461 + ... + 42210229499.

It is an arithmetic number, because the mean of its divisors is an integer number (284773759200).

Almost surely, 2^{86066655870720} is an apocalyptic number.

86066655870720 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 86066655870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164029685299200).

86066655870720 is an abundant number, since it is smaller than the sum of its proper divisors (241992714727680).

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

86066655870720 is a wasteful number, since it uses less digits than its factorization.

86066655870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 86066655870720 in words is "eighty-six trillion, sixty-six billion, six hundred fifty-five million, eight hundred seventy thousand, seven hundred twenty".