86683036440 has 384 divisors, whose sum is σ = 355395237120. Its totient is φ = 16626355200.

The previous prime is 86683036309. The next prime is 86683036457. The reversal of 86683036440 is 4463038668.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86683036440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 789295 + ... + 892385.

It is an arithmetic number, because the mean of its divisors is an integer number (925508430).

Almost surely, 2^86683036440 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 86683036440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177697618560).

86683036440 is an abundant number, since it is smaller than the sum of its proper divisors (268712200680).

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

86683036440 is a wasteful number, since it uses less digits than its factorization.

86683036440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103143 (or 103132 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 86683036440 in words is "eighty-six billion, six hundred eighty-three million, thirty-six thousand, four hundred forty".