19956972672000 has 5632 divisors, whose sum is σ = 98883580723200. Its totient is φ = 3853910016000.

The previous prime is 19956972671989. The next prime is 19956972672059. The reversal of 19956972672000 is 27627965991.

19956972672000 is a `hidden beast` number, since 1 + 9 + 9 + 569 + 7 + 2 + 67 + 2 + 0 + 0 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 224235647956 + ... + 224235648044.

Almost surely, 2^{19956972672000} is an apocalyptic number.

19956972672000 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 19956972672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49441790361600).

19956972672000 is an abundant number, since it is smaller than the sum of its proper divisors (78926608051200).

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

19956972672000 is a wasteful number, since it uses less digits than its factorization.

19956972672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 19956972672000 in words is "nineteen trillion, nine hundred fifty-six billion, nine hundred seventy-two million, six hundred seventy-two thousand".