86304561733600 has 432 divisors, whose sum is σ = 258066515185920. Its totient is φ = 28024336972800.

The previous prime is 86304561733591. The next prime is 86304561733639. The reversal of 86304561733600 is 633716540368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2775854055 + ... + 2775885145.

It is an arithmetic number, because the mean of its divisors is an integer number (597376192560).

Almost surely, 2^{86304561733600} is an apocalyptic number.

86304561733600 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 86304561733600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129033257592960).

86304561733600 is an abundant number, since it is smaller than the sum of its proper divisors (171761953452320).

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

86304561733600 is a wasteful number, since it uses less digits than its factorization.

86304561733600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34871 (or 34851 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 52.

The spelling of 86304561733600 in words is "eighty-six trillion, three hundred four billion, five hundred sixty-one million, seven hundred thirty-three thousand, six hundred".