8193890119680 has 2080 divisors, whose sum is σ = 32882684313600. Its totient is φ = 1942370648064.

The previous prime is 8193890119651. The next prime is 8193890119687. The reversal of 8193890119680 is 869110983918.

8193890119680 is a `hidden beast` number, since 81 + 9 + 389 + 0 + 11 + 96 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8193890119687) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64518819777 + ... + 64518819903.

Almost surely, 2^{8193890119680} is an apocalyptic number.

8193890119680 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 8193890119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16441342156800).

8193890119680 is an abundant number, since it is smaller than the sum of its proper divisors (24688794193920).

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

8193890119680 is a wasteful number, since it uses less digits than its factorization.

8193890119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 63.

The spelling of 8193890119680 in words is "eight trillion, one hundred ninety-three billion, eight hundred ninety million, one hundred nineteen thousand, six hundred eighty".