8209074908160 has 528 divisors, whose sum is σ = 32537406799872. Its totient is φ = 1874644992000.

The previous prime is 8209074908123. The next prime is 8209074908161. The reversal of 8209074908160 is 618094709028.

8209074908160 is a `hidden beast` number, since 8 + 2 + 0 + 90 + 7 + 490 + 8 + 1 + 60 = 666.

It is a super-2 number, since 2×8209074908160² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8209074908097 and 8209074908106.

It is not an unprimeable number, because it can be changed into a prime (8209074908161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371255505 + ... + 371277615.

Almost surely, 2^{8209074908160} is an apocalyptic number.

8209074908160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8209074908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16268703399936).

8209074908160 is an abundant number, since it is smaller than the sum of its proper divisors (24328331891712).

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

8209074908160 is a wasteful number, since it uses less digits than its factorization.

8209074908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23300 (or 23279 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 8209074908160 in words is "eight trillion, two hundred nine billion, seventy-four million, nine hundred eight thousand, one hundred sixty".