86982628968 has 96 divisors (see below), whose sum is σ = 242348021760. Its totient is φ = 28163583360.

The previous prime is 86982628933. The next prime is 86982628969.

86982628968 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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 86982628896 and 86982628905.

It is not an unprimeable number, because it can be changed into a prime (86982628969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1590153 + ... + 1643943.

It is an arithmetic number, because the mean of its divisors is an integer number (2524458560).

Almost surely, 2^86982628968 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 86982628968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121174010880).

86982628968 is an abundant number, since it is smaller than the sum of its proper divisors (155365392792).

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

86982628968 is a wasteful number, since it uses less digits than its factorization.

86982628968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54447 (or 54440 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 72.

The spelling of 86982628968 in words is "eighty-six billion, nine hundred eighty-two million, six hundred twenty-eight thousand, nine hundred sixty-eight".