86985388809 has 224 divisors, whose sum is σ = 157064624640. Its totient is φ = 47551795200.

The previous prime is 86985388807. The next prime is 86985388811. The reversal of 86985388809 is 90888358968.

86985388809 is a `hidden beast` number, since 8 + 6 + 9 + 8 + 538 + 8 + 80 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (86985388807) and next prime (86985388811).

It is not a de Polignac number, because 86985388809 - 2¹ = 86985388807 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86985388801) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 441550099 + ... + 441550295.

It is an arithmetic number, because the mean of its divisors is an integer number (701181360).

Almost surely, 2^86985388809 is an apocalyptic number.

It is an amenable number.

86985388809 is a deficient number, since it is larger than the sum of its proper divisors (70079235831).

86985388809 is a wasteful number, since it uses less digits than its factorization.

86985388809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 86985388809 in words is "eighty-six billion, nine hundred eighty-five million, three hundred eighty-eight thousand, eight hundred nine".