86986468968 has 256 divisors, whose sum is σ = 263434567680. Its totient is φ = 23414400000.

The previous prime is 86986468951. The next prime is 86986468973.

86986468968 is nontrivially palindromic in base 10.

Its product of digits (1719926784) is a multiple of the sum of its prime divisors (2916).

It is a junction number, because it is equal to n+sod(n) for n = 86986468893 and 86986468902.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32085133 + ... + 32087843.

It is an arithmetic number, because the mean of its divisors is an integer number (1029041280).

Almost surely, 2^86986468968 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 86986468968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131717283840).

86986468968 is an abundant number, since it is smaller than the sum of its proper divisors (176448098712).

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

86986468968 is a wasteful number, since it uses less digits than its factorization.

86986468968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2916 counting only the distinct ones).

The product of its digits is 1719926784, while the sum is 78.

The spelling of 86986468968 in words is "eighty-six billion, nine hundred eighty-six million, four hundred sixty-eight thousand, nine hundred sixty-eight".