86188011 has 64 divisors (see below), whose sum is σ = 153216000. Its totient is φ = 42674688.

The previous prime is 86187979. The next prime is 86188013. The reversal of 86188011 is 11088168.

It is not a de Polignac number, because 86188011 - 2⁵ = 86187979 is a prime.

It is a super-2 number, since 2×86188011² = 14856746480272242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86188013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227220 + ... + 227598.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 2^86188011 is an apocalyptic number.

86188011 is a deficient number, since it is larger than the sum of its proper divisors (67027989).

86188011 is a wasteful number, since it uses less digits than its factorization.

86188011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 86188011 is about 9283.7498350613. The cubic root of 86188011 is about 441.7219216183.

The spelling of 86188011 in words is "eighty-six million, one hundred eighty-eight thousand, eleven".