19959840417900 has 288 divisors, whose sum is σ = 60973167467520. Its totient is φ = 5035757690880.

The previous prime is 19959840417887. The next prime is 19959840417941. The reversal of 19959840417900 is 971404895991.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 58641406 + ... + 58980794.

It is an arithmetic number, because the mean of its divisors is an integer number (211712387040).

Almost surely, 2^{19959840417900} is an apocalyptic number.

19959840417900 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 19959840417900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30486583733760).

19959840417900 is an abundant number, since it is smaller than the sum of its proper divisors (41013327049620).

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

19959840417900 is a wasteful number, since it uses less digits than its factorization.

19959840417900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339593 (or 339586 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 66.

The spelling of 19959840417900 in words is "nineteen trillion, nine hundred fifty-nine billion, eight hundred forty million, four hundred seventeen thousand, nine hundred".