86732849055600 has 2160 divisors, whose sum is σ = 371648697960960. Its totient is φ = 19048456627200.

The previous prime is 86732849055569. The next prime is 86732849055607. The reversal of 86732849055600 is 655094823768.

It is a happy number.

86732849055600 is a `hidden beast` number, since 8 + 6 + 7 + 3 + 28 + 49 + 0 + 5 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86732849055607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 22687115289 + ... + 22687119111.

Almost surely, 2^{86732849055600} is an apocalyptic number.

86732849055600 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 86732849055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185824348980480).

86732849055600 is an abundant number, since it is smaller than the sum of its proper divisors (284915848905360).

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

86732849055600 is a wasteful number, since it uses less digits than its factorization.

86732849055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 86732849055600 in words is "eighty-six trillion, seven hundred thirty-two billion, eight hundred forty-nine million, fifty-five thousand, six hundred".