86580378304 has 448 divisors, whose sum is σ = 222235776000. Its totient is φ = 33326899200.

The previous prime is 86580378289. The next prime is 86580378317. The reversal of 86580378304 is 40387308568.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1043137047 + ... + 1043137129.

It is an arithmetic number, because the mean of its divisors is an integer number (496062000).

Almost surely, 2^86580378304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86580378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111117888000).

86580378304 is an abundant number, since it is smaller than the sum of its proper divisors (135655397696).

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

86580378304 is a wasteful number, since it uses less digits than its factorization.

86580378304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 86580378304 in words is "eighty-six billion, five hundred eighty million, three hundred seventy-eight thousand, three hundred four".