86554845568 has 128 divisors (see below), whose sum is σ = 186813000000. Its totient is φ = 39797194752.

The previous prime is 86554845527. The next prime is 86554845581.

86554845568 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17311933 + ... + 17316931.

Almost surely, 2^86554845568 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 86554845568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93406500000).

86554845568 is an abundant number, since it is smaller than the sum of its proper divisors (100258154432).

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

86554845568 is a wasteful number, since it uses less digits than its factorization.

86554845568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 5200 counting only the distinct ones).

The product of its digits is 184320000, while the sum is 64.

The spelling of 86554845568 in words is "eighty-six billion, five hundred fifty-four million, eight hundred forty-five thousand, five hundred sixty-eight".