86705554782 has 128 divisors (see below), whose sum is σ = 221037465600. Its totient is φ = 22477617120.

The previous prime is 86705554759. The next prime is 86705554783. The reversal of 86705554782 is 28745550768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86705554783) 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, 12741793 + ... + 12748595.

It is an arithmetic number, because the mean of its divisors is an integer number (1726855200).

Almost surely, 2^86705554782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86705554782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110518732800).

86705554782 is an abundant number, since it is smaller than the sum of its proper divisors (134331910818).

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

86705554782 is a wasteful number, since it uses less digits than its factorization.

86705554782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7403 (or 7389 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 57.

The spelling of 86705554782 in words is "eighty-six billion, seven hundred five million, five hundred fifty-four thousand, seven hundred eighty-two".