86588560775040 has 384 divisors, whose sum is σ = 285812942960160. Its totient is φ = 22296744345600.

The previous prime is 86588560775033. The next prime is 86588560775053. The reversal of 86588560775040 is 4057706588568.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850549422 + ... + 850651218.

Almost surely, 2^{86588560775040} is an apocalyptic number.

86588560775040 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 86588560775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142906471480080).

86588560775040 is an abundant number, since it is smaller than the sum of its proper divisors (199224382185120).

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

86588560775040 is a wasteful number, since it uses less digits than its factorization.

86588560775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102342 (or 102299 counting only the distinct ones).

The product of its (nonzero) digits is 451584000, while the sum is 69.

The spelling of 86588560775040 in words is "eighty-six trillion, five hundred eighty-eight billion, five hundred sixty million, seven hundred seventy-five thousand, forty".