8108019724896 has 960 divisors, whose sum is σ = 30439105179840. Its totient is φ = 2085938749440.

The previous prime is 8108019724891. The next prime is 8108019724901. The reversal of 8108019724896 is 6984279108018.

8108019724896 is a `hidden beast` number, since 8 + 1 + 0 + 80 + 1 + 9 + 72 + 489 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (8108019724891) and next prime (8108019724901).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8108019724891) 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 159 ways as a sum of consecutive naturals, for example, 1105685646 + ... + 1105692978.

It is an arithmetic number, because the mean of its divisors is an integer number (31707401229).

Almost surely, 2^{8108019724896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8108019724896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15219552589920).

8108019724896 is an abundant number, since it is smaller than the sum of its proper divisors (22331085454944).

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

8108019724896 is a wasteful number, since it uses less digits than its factorization.

8108019724896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 8108019724896 in words is "eight trillion, one hundred eight billion, nineteen million, seven hundred twenty-four thousand, eight hundred ninety-six".