8103195718800 has 1440 divisors, whose sum is σ = 34324723077120. Its totient is φ = 1615193395200.

The previous prime is 8103195718763. The next prime is 8103195718823. The reversal of 8103195718800 is 88175913018.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8176786305 + ... + 8176787295.

It is an arithmetic number, because the mean of its divisors is an integer number (23836613248).

Almost surely, 2^{8103195718800} is an apocalyptic number.

8103195718800 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 8103195718800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162361538560).

8103195718800 is an abundant number, since it is smaller than the sum of its proper divisors (26221527358320).

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

8103195718800 is a wasteful number, since it uses less digits than its factorization.

8103195718800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 51.

The spelling of 8103195718800 in words is "eight trillion, one hundred three billion, one hundred ninety-five million, seven hundred eighteen thousand, eight hundred".