8120067536160 has 120 divisors (see below), whose sum is σ = 28657071725436. Its totient is φ = 2165351339520.

The previous prime is 8120067536137. The next prime is 8120067536183. The reversal of 8120067536160 is 616357600218.

8120067536160 is a `hidden beast` number, since 8 + 1 + 20 + 0 + 6 + 7 + 5 + 3 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8120067536137) and next prime (8120067536183).

It can be written as a sum of positive squares in 2 ways, for example, as 7634765819664 + 485301716496 = 2763108^2 + 696636^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 313261251 + ... + 313287170.

Almost surely, 2^{8120067536160} is an apocalyptic number.

8120067536160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8120067536160 is an abundant number, since it is smaller than the sum of its proper divisors (20537004189276).

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

8120067536160 is a wasteful number, since it uses less digits than its factorization.

8120067536160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626548448 (or 626548431 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 8120067536160 in words is "eight trillion, one hundred twenty billion, sixty-seven million, five hundred thirty-six thousand, one hundred sixty".