86604105779200 has 288 divisors, whose sum is σ = 215325483052680. Its totient is φ = 34545047961600.

The previous prime is 86604105779141. The next prime is 86604105779203. The reversal of 86604105779200 is 297750140668.

It can be written as a sum of positive squares in 12 ways, for example, as 29344495707136 + 57259610072064 = 5417056^2 + 7567008^2 .

It is a super-2 number, since 2×86604105779200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86604105779203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43894629414 + ... + 43894631386.

Almost surely, 2^{86604105779200} is an apocalyptic number.

86604105779200 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 86604105779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107662741526340).

86604105779200 is an abundant number, since it is smaller than the sum of its proper divisors (128721377273480).

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

86604105779200 is a wasteful number, since it uses less digits than its factorization.

86604105779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 86604105779200 in words is "eighty-six trillion, six hundred four billion, one hundred five million, seven hundred seventy-nine thousand, two hundred".