86581774895616 has 960 divisors, whose sum is σ = 335995533409536. Its totient is φ = 20728479744000.

The previous prime is 86581774895521. The next prime is 86581774895639. The reversal of 86581774895616 is 61659847718568.

86581774895616 is a `hidden beast` number, since 8 + 6 + 5 + 8 + 1 + 7 + 7 + 48 + 9 + 561 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3233424820 + ... + 3233451596.

Almost surely, 2^{86581774895616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86581774895616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167997766704768).

86581774895616 is an abundant number, since it is smaller than the sum of its proper divisors (249413758513920).

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

86581774895616 is a wasteful number, since it uses less digits than its factorization.

86581774895616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27533 (or 27514 counting only the distinct ones).

The product of its digits is 4877107200, while the sum is 81.

The spelling of 86581774895616 in words is "eighty-six trillion, five hundred eighty-one billion, seven hundred seventy-four million, eight hundred ninety-five thousand, six hundred sixteen".