8181656083520 has 224 divisors, whose sum is σ = 20813563046400. Its totient is φ = 3054390902784.

The previous prime is 8181656083507. The next prime is 8181656083537. The reversal of 8181656083520 is 253806561818.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219487604 + ... + 219524876.

Almost surely, 2^{8181656083520} is an apocalyptic number.

8181656083520 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 8181656083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10406781523200).

8181656083520 is an abundant number, since it is smaller than the sum of its proper divisors (12631906962880).

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

8181656083520 is a wasteful number, since it uses less digits than its factorization.

8181656083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37845 (or 37835 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 53.

The spelling of 8181656083520 in words is "eight trillion, one hundred eighty-one billion, six hundred fifty-six million, eighty-three thousand, five hundred twenty".