86682105600 has 216 divisors, whose sum is σ = 298508310912. Its totient is φ = 22110105600.

The previous prime is 86682105599. The next prime is 86682105649. The reversal of 86682105600 is 650128668.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343455 + ... + 539745.

Almost surely, 2^86682105600 is an apocalyptic number.

86682105600 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 86682105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149254155456).

86682105600 is an abundant number, since it is smaller than the sum of its proper divisors (211826205312).

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

86682105600 is a wasteful number, since it uses less digits than its factorization.

86682105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196343 (or 196324 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 86682105600 in words is "eighty-six billion, six hundred eighty-two million, one hundred five thousand, six hundred".