19933087068000 has 384 divisors, whose sum is σ = 72579286241280. Its totient is φ = 5313816000000.

The previous prime is 19933087067963. The next prime is 19933087068049. The reversal of 19933087068000 is 86078033991.

19933087068000 is a `hidden beast` number, since 199 + 3 + 308 + 70 + 6 + 80 + 0 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 364040625 + ... + 364095375.

It is an arithmetic number, because the mean of its divisors is an integer number (189008557920).

Almost surely, 2^{19933087068000} is an apocalyptic number.

19933087068000 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 19933087068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36289643120640).

19933087068000 is an abundant number, since it is smaller than the sum of its proper divisors (52646199173280).

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

19933087068000 is a wasteful number, since it uses less digits than its factorization.

19933087068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58156 (or 58132 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 19933087068000 in words is "nineteen trillion, nine hundred thirty-three billion, eighty-seven million, sixty-eight thousand".