86555188155568 has 160 divisors (see below), whose sum is σ = 189630565724160. Its totient is φ = 37916615808000.

The previous prime is 86555188155473. The next prime is 86555188155593.

86555188155568 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86555188155494 and 86555188155503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295761146 + ... + 1295827942.

It is an arithmetic number, because the mean of its divisors is an integer number (1185191035776).

Almost surely, 2^{86555188155568} is an apocalyptic number.

86555188155568 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 86555188155568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94815282862080).

86555188155568 is an abundant number, since it is smaller than the sum of its proper divisors (103075377568592).

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

86555188155568 is a wasteful number, since it uses less digits than its factorization.

86555188155568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67827 (or 67821 counting only the distinct ones).

The product of its digits is 2304000000, while the sum is 76.

The spelling of 86555188155568 in words is "eighty-six trillion, five hundred fifty-five billion, one hundred eighty-eight million, one hundred fifty-five thousand, five hundred sixty-eight".