19869957408000 has 2304 divisors, whose sum is σ = 86807739432960. Its totient is φ = 3917611008000.

The previous prime is 19869957407947. The next prime is 19869957408011. The reversal of 19869957408000 is 80475996891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6728734524 + ... + 6728737476.

It is an arithmetic number, because the mean of its divisors is an integer number (37676970240).

Almost surely, 2^{19869957408000} is an apocalyptic number.

19869957408000 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 19869957408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43403869716480).

19869957408000 is an abundant number, since it is smaller than the sum of its proper divisors (66937782024960).

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

19869957408000 is a wasteful number, since it uses less digits than its factorization.

19869957408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 66.

The spelling of 19869957408000 in words is "nineteen trillion, eight hundred sixty-nine billion, nine hundred fifty-seven million, four hundred eight thousand".