86842534161600 has 2016 divisors, whose sum is σ = 366204211716096. Its totient is φ = 19109551104000.

The previous prime is 86842534161583. The next prime is 86842534161601. The reversal of 86842534161600 is 616143524868.

86842534161600 is a `hidden beast` number, since 8 + 6 + 8 + 4 + 25 + 3 + 4 + 1 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is not an unprimeable number, because it can be changed into a prime (86842534161601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 82628481075 + ... + 82628482125.

Almost surely, 2^{86842534161600} is an apocalyptic number.

86842534161600 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 86842534161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183102105858048).

86842534161600 is an abundant number, since it is smaller than the sum of its proper divisors (279361677554496).

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

86842534161600 is a wasteful number, since it uses less digits than its factorization.

86842534161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 86842534161600 in words is "eighty-six trillion, eight hundred forty-two billion, five hundred thirty-four million, one hundred sixty-one thousand, six hundred".