86662861824 has 352 divisors, whose sum is σ = 290862913536. Its totient is φ = 22285025280.

The previous prime is 86662861771. The next prime is 86662861867. The reversal of 86662861824 is 42816826668.

It is a tau number, because it is divible by the number of its divisors (352).

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

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 31 ways as a sum of consecutive naturals, for example, 24362254 + ... + 24365810.

Almost surely, 2^86662861824 is an apocalyptic number.

86662861824 is a gapful number since it is divisible by the number (84) 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 86662861824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145431456768).

86662861824 is an abundant number, since it is smaller than the sum of its proper divisors (204200051712).

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

86662861824 is a wasteful number, since it uses less digits than its factorization.

86662861824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3683 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 57.

The spelling of 86662861824 in words is "eighty-six billion, six hundred sixty-two million, eight hundred sixty-one thousand, eight hundred twenty-four".