86682587855556 has 192 divisors, whose sum is σ = 252848871475200. Its totient is φ = 22454198784000.

The previous prime is 86682587855551. The next prime is 86682587855683. The reversal of 86682587855556 is 65555878528668.

86682587855556 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (86682587855551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559710420 + ... + 559865268.

It is an arithmetic number, because the mean of its divisors is an integer number (1316921205600).

Almost surely, 2^{86682587855556} 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 86682587855556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126424435737600).

86682587855556 is an abundant number, since it is smaller than the sum of its proper divisors (166166283619644).

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

86682587855556 is a wasteful number, since it uses less digits than its factorization.

86682587855556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156506 (or 156504 counting only the distinct ones).

The product of its digits is 38707200000, while the sum is 84.

The spelling of 86682587855556 in words is "eighty-six trillion, six hundred eighty-two billion, five hundred eighty-seven million, eight hundred fifty-five thousand, five hundred fifty-six".