86685460942080 has 2304 divisors, whose sum is σ = 384614511869952. Its totient is φ = 16069371494400.

The previous prime is 86685460942037. The next prime is 86685460942141. The reversal of 86685460942080 is 8024906458668.

It is a super-2 number, since 2×86685460942080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 114511837062 + ... + 114511837818.

It is an arithmetic number, because the mean of its divisors is an integer number (166933381888).

Almost surely, 2^{86685460942080} is an apocalyptic number.

86685460942080 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 86685460942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192307255934976).

86685460942080 is an abundant number, since it is smaller than the sum of its proper divisors (297929050927872).

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

86685460942080 is a wasteful number, since it uses less digits than its factorization.

86685460942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 66.

The spelling of 86685460942080 in words is "eighty-six trillion, six hundred eighty-five billion, four hundred sixty million, nine hundred forty-two thousand, eighty".