86993141760 has 864 divisors, whose sum is σ = 359869910400. Its totient is φ = 19421724672.

The previous prime is 86993141747. The next prime is 86993141773. The reversal of 86993141760 is 6714139968.

86993141760 is a `hidden beast` number, since 86 + 9 + 93 + 1 + 417 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (86993141747) and next prime (86993141773).

It is a junction number, because it is equal to n+sod(n) for n = 86993141697 and 86993141706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2023096299 + ... + 2023096341.

It is an arithmetic number, because the mean of its divisors is an integer number (416516100).

Almost surely, 2^86993141760 is an apocalyptic number.

86993141760 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 86993141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179934955200).

86993141760 is an abundant number, since it is smaller than the sum of its proper divisors (272876768640).

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

86993141760 is an frugal number, since it uses more digits than its factorization.

86993141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 86993141760 in words is "eighty-six billion, nine hundred ninety-three million, one hundred forty-one thousand, seven hundred sixty".