86555582750000 has 560 divisors, whose sum is σ = 259094683545600. Its totient is φ = 27277084800000.

The previous prime is 86555582749981. The next prime is 86555582750027. The reversal of 86555582750000 is 5728555568.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5437242041 + ... + 5437257959.

It is an arithmetic number, because the mean of its divisors is an integer number (462669077760).

Almost surely, 2^{86555582750000} is an apocalyptic number.

86555582750000 is a gapful number since it is divisible by the number (80) 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 86555582750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129547341772800).

86555582750000 is an abundant number, since it is smaller than the sum of its proper divisors (172539100795600).

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

86555582750000 is a wasteful number, since it uses less digits than its factorization.

86555582750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16216 (or 16185 counting only the distinct ones).

The product of its (nonzero) digits is 16800000, while the sum is 56.

The spelling of 86555582750000 in words is "eighty-six trillion, five hundred fifty-five billion, five hundred eighty-two million, seven hundred fifty thousand".