86782914201 has 16 divisors (see below), whose sum is σ = 120920684544. Its totient is φ = 55307464464.

The previous prime is 86782914187. The next prime is 86782914203. The reversal of 86782914201 is 10241928768.

It is a happy number.

It is not a de Polignac number, because 86782914201 - 2¹³ = 86782906009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86782914203) 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 15 ways as a sum of consecutive naturals, for example, 7150701 + ... + 7162826.

It is an arithmetic number, because the mean of its divisors is an integer number (7557542784).

Almost surely, 2^86782914201 is an apocalyptic number.

It is an amenable number.

86782914201 is a deficient number, since it is larger than the sum of its proper divisors (34137770343).

86782914201 is a wasteful number, since it uses less digits than its factorization.

86782914201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14313620.

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 86782914201 in words is "eighty-six billion, seven hundred eighty-two million, nine hundred fourteen thousand, two hundred one".