19947050577216 has 896 divisors, whose sum is σ = 68637877862400. Its totient is φ = 5563495342080.

The previous prime is 19947050577203. The next prime is 19947050577239. The reversal of 19947050577216 is 61277505074991.

19947050577216 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 7 + 0 + 50 + 577 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53477347206 + ... + 53477347578.

It is an arithmetic number, because the mean of its divisors is an integer number (76604774400).

Almost surely, 2^{19947050577216} is an apocalyptic number.

19947050577216 is a gapful number since it is divisible by the number (16) 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 19947050577216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34318938931200).

19947050577216 is an abundant number, since it is smaller than the sum of its proper divisors (48690827285184).

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

19947050577216 is a wasteful number, since it uses less digits than its factorization.

19947050577216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 19947050577216 in words is "nineteen trillion, nine hundred forty-seven billion, fifty million, five hundred seventy-seven thousand, two hundred sixteen".