86083403904 has 192 divisors, whose sum is σ = 252979796160. Its totient is φ = 28087068672.

The previous prime is 86083403867. The next prime is 86083403929. The reversal of 86083403904 is 40930438068.

86083403904 is a `hidden beast` number, since 8 + 608 + 3 + 4 + 0 + 39 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 86083403904.

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 23 ways as a sum of consecutive naturals, for example, 30709767 + ... + 30712569.

It is an arithmetic number, because the mean of its divisors is an integer number (1317603105).

Almost surely, 2^86083403904 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 86083403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126489898080).

86083403904 is an abundant number, since it is smaller than the sum of its proper divisors (166896392256).

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

86083403904 is a wasteful number, since it uses less digits than its factorization.

86083403904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 86083403904 in words is "eighty-six billion, eighty-three million, four hundred three thousand, nine hundred four".