86378800365 has 192 divisors, whose sum is σ = 182130923520. Its totient is φ = 37297152000.

The previous prime is 86378800357. The next prime is 86378800477. The reversal of 86378800365 is 56300887368.

It is a happy number.

It is not a de Polignac number, because 86378800365 - 2³ = 86378800357 is a prime.

It is a super-2 number, since 2×86378800365² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 113506585 + ... + 113507345.

It is an arithmetic number, because the mean of its divisors is an integer number (948598560).

Almost surely, 2^86378800365 is an apocalyptic number.

It is an amenable number.

86378800365 is an abundant number, since it is smaller than the sum of its proper divisors (95752123155).

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

86378800365 is a wasteful number, since it uses less digits than its factorization.

86378800365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 86378800365 in words is "eighty-six billion, three hundred seventy-eight million, eight hundred thousand, three hundred sixty-five".