8189159193600 has 2376 divisors, whose sum is σ = 35400087499392. Its totient is φ = 1634181120000.

The previous prime is 8189159193599. The next prime is 8189159193617. The reversal of 8189159193600 is 63919519818.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 62512665535 + ... + 62512665665.

Almost surely, 2^{8189159193600} is an apocalyptic number.

8189159193600 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 8189159193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17700043749696).

8189159193600 is an abundant number, since it is smaller than the sum of its proper divisors (27210928305792).

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

8189159193600 is a wasteful number, since it uses less digits than its factorization.

8189159193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 60.

The spelling of 8189159193600 in words is "eight trillion, one hundred eighty-nine billion, one hundred fifty-nine million, one hundred ninety-three thousand, six hundred".