18871248013800 has 768 divisors, whose sum is σ = 74289045196800. Its totient is φ = 3856503398400.

The previous prime is 18871248013693. The next prime is 18871248013829. The reversal of 18871248013800 is 831084217881.

It is a super-2 number, since 2×18871248013800² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 311135077 + ... + 311195723.

It is an arithmetic number, because the mean of its divisors is an integer number (96730527600).

Almost surely, 2^{18871248013800} is an apocalyptic number.

18871248013800 is a gapful number since it is divisible by the number (10) 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 18871248013800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37144522598400).

18871248013800 is an abundant number, since it is smaller than the sum of its proper divisors (55417797183000).

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

18871248013800 is a wasteful number, since it uses less digits than its factorization.

18871248013800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60866 (or 60857 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 51.

The spelling of 18871248013800 in words is "eighteen trillion, eight hundred seventy-one billion, two hundred forty-eight million, thirteen thousand, eight hundred".