20382048000 has 864 divisors, whose sum is σ = 81478680192. Its totient is φ = 4866048000.

The previous prime is 20382047999. The next prime is 20382048067. The reversal of 20382048000 is 84028302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112607910 + ... + 112608090.

It is an arithmetic number, because the mean of its divisors is an integer number (94304028).

Almost surely, 2^20382048000 is an apocalyptic number.

20382048000 is a gapful number since it is divisible by the number (20) 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 20382048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40739340096).

20382048000 is an abundant number, since it is smaller than the sum of its proper divisors (61096632192).

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

20382048000 is a wasteful number, since it uses less digits than its factorization.

20382048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20382048000 in words is "twenty billion, three hundred eighty-two million, forty-eight thousand".