19788411456000 has 1920 divisors, whose sum is σ = 81340915848192. Its totient is φ = 4755179520000.

The previous prime is 19788411455999. The next prime is 19788411456089. The reversal of 19788411456000 is 65411488791.

19788411456000 is a `hidden beast` number, since 1 + 9 + 78 + 8 + 4 + 1 + 1 + 4 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22410431559 + ... + 22410432441.

Almost surely, 2^{19788411456000} is an apocalyptic number.

19788411456000 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 19788411456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40670457924096).

19788411456000 is an abundant number, since it is smaller than the sum of its proper divisors (61552504392192).

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

19788411456000 is an equidigital number, since it uses as much as digits as its factorization.

19788411456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 19788411456000 in words is "nineteen trillion, seven hundred eighty-eight billion, four hundred eleven million, four hundred fifty-six thousand".