19720947916800 has 1680 divisors, whose sum is σ = 82833233073360. Its totient is φ = 4597937602560.

The previous prime is 19720947916763. The next prime is 19720947916837. The reversal of 19720947916800 is 861974902791.

19720947916800 is a `hidden beast` number, since 1 + 9 + 72 + 0 + 9 + 479 + 16 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19720947916763) and next prime (19720947916837).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4097431194 + ... + 4097436006.

It is an arithmetic number, because the mean of its divisors is an integer number (49305495877).

Almost surely, 2^{19720947916800} is an apocalyptic number.

19720947916800 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 19720947916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41416616536680).

19720947916800 is an abundant number, since it is smaller than the sum of its proper divisors (63112285156560).

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

19720947916800 is a wasteful number, since it uses less digits than its factorization.

19720947916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4893 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 19720947916800 in words is "nineteen trillion, seven hundred twenty billion, nine hundred forty-seven million, nine hundred sixteen thousand, eight hundred".