86560704921600 has 2304 divisors, whose sum is σ = 389566987992000. Its totient is φ = 18256421191680.

The previous prime is 86560704921487. The next prime is 86560704921643. The reversal of 86560704921600 is 612940706568.

86560704921600 is a `hidden beast` number, since 8 + 6 + 5 + 6 + 0 + 7 + 0 + 4 + 9 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32875313884 + ... + 32875316516.

Almost surely, 2^{86560704921600} is an apocalyptic number.

86560704921600 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 86560704921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194783493996000).

86560704921600 is an abundant number, since it is smaller than the sum of its proper divisors (303006283070400).

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

86560704921600 is a wasteful number, since it uses less digits than its factorization.

86560704921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 86560704921600 in words is "eighty-six trillion, five hundred sixty billion, seven hundred four million, nine hundred twenty-one thousand, six hundred".