86182145010 has 48 divisors (see below), whose sum is σ = 241310009304. Its totient is φ = 21214066176.

The previous prime is 86182144981. The next prime is 86182145081. The reversal of 86182145010 is 1054128168.

86182145010 is a `hidden beast` number, since 8 + 61 + 82 + 14 + 501 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57552489801 + 28629655209 = 239901^2 + 169203^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36828807 + ... + 36831146.

Almost surely, 2^86182145010 is an apocalyptic number.

86182145010 is an abundant number, since it is smaller than the sum of its proper divisors (155127864294).

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

86182145010 is a wasteful number, since it uses less digits than its factorization.

86182145010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73659979 (or 73659976 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 86182145010 in words is "eighty-six billion, one hundred eighty-two million, one hundred forty-five thousand, ten".