19996803976800 has 2592 divisors, whose sum is σ = 83984550644736. Its totient is φ = 4045112524800.

The previous prime is 19996803976777. The next prime is 19996803976813. The reversal of 19996803976800 is 867930869991.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 273928821564 + ... + 273928821636.

It is an arithmetic number, because the mean of its divisors is an integer number (32401447008).

Almost surely, 2^{19996803976800} is an apocalyptic number.

19996803976800 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 19996803976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41992275322368).

19996803976800 is an abundant number, since it is smaller than the sum of its proper divisors (63987746667936).

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

19996803976800 is a wasteful number, since it uses less digits than its factorization.

19996803976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 75.

The spelling of 19996803976800 in words is "nineteen trillion, nine hundred ninety-six billion, eight hundred three million, nine hundred seventy-six thousand, eight hundred".