8121580164 has 36 divisors (see below), whose sum is σ = 20534026240. Its totient is φ = 2706603120.

The previous prime is 8121580147. The next prime is 8121580171. The reversal of 8121580164 is 4610851218.

8121580164 is a `hidden beast` number, since 8 + 12 + 1 + 580 + 1 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162249 + ... + 206319.

Almost surely, 2^8121580164 is an apocalyptic number.

It is an amenable number.

8121580164 is an abundant number, since it is smaller than the sum of its proper divisors (12412446076).

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

8121580164 is a wasteful number, since it uses less digits than its factorization.

8121580164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49200 (or 49195 counting only the distinct ones).

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

The square root of 8121580164 is about 90119.8100530621. The cubic root of 8121580164 is about 2010.0807838624.

The spelling of 8121580164 in words is "eight billion, one hundred twenty-one million, five hundred eighty thousand, one hundred sixty-four".