19956111616000 has 2304 divisors, whose sum is σ = 65531279923200. Its totient is φ = 6019743744000.

The previous prime is 19956111615977. The next prime is 19956111616003. The reversal of 19956111616000 is 61611165991.

It is not an unprimeable number, because it can be changed into a prime (19956111616003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 273371391964 + ... + 273371392036.

It is an arithmetic number, because the mean of its divisors is an integer number (28442395800).

Almost surely, 2^{19956111616000} is an apocalyptic number.

19956111616000 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 19956111616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32765639961600).

19956111616000 is an abundant number, since it is smaller than the sum of its proper divisors (45575168307200).

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

19956111616000 is a wasteful number, since it uses less digits than its factorization.

19956111616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 46.

The spelling of 19956111616000 in words is "nineteen trillion, nine hundred fifty-six billion, one hundred eleven million, six hundred sixteen thousand".