86563177136568 has 192 divisors, whose sum is σ = 258342882295680. Its totient is φ = 25965938016000.

The previous prime is 86563177136567. The next prime is 86563177136591.

It is a happy number.

86563177136568 is a `hidden beast` number, since 8 + 6 + 56 + 3 + 1 + 7 + 7 + 1 + 3 + 6 + 568 = 666.

86563177136568 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86563177136496 and 86563177136505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86563177136563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377687655 + ... + 377916777.

It is an arithmetic number, because the mean of its divisors is an integer number (1345535845290).

Almost surely, 2^{86563177136568} is an apocalyptic number.

86563177136568 is a gapful number since it is divisible by the number (88) 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 86563177136568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129171441147840).

86563177136568 is an abundant number, since it is smaller than the sum of its proper divisors (171779705159112).

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

86563177136568 is a wasteful number, since it uses less digits than its factorization.

86563177136568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233970 (or 233963 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 86563177136568 in words is "eighty-six trillion, five hundred sixty-three billion, one hundred seventy-seven million, one hundred thirty-six thousand, five hundred sixty-eight".