20001838382000 has 80 divisors (see below), whose sum is σ = 48373235164800. Its totient is φ = 7999281267200.

The previous prime is 20001838381969. The next prime is 20001838382003. The reversal of 20001838382000 is 28383810002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20001838382003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10131956 + ... + 11944044.

It is an arithmetic number, because the mean of its divisors is an integer number (604665439560).

Almost surely, 2^{20001838382000} is an apocalyptic number.

20001838382000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001838382000 is an abundant number, since it is smaller than the sum of its proper divisors (28371396782800).

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

20001838382000 is a wasteful number, since it uses less digits than its factorization.

20001838382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817631 (or 1817615 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 20001838382000 in words is "twenty trillion, one billion, eight hundred thirty-eight million, three hundred eighty-two thousand".