1989535006368 has 1728 divisors, whose sum is σ = 7792550438400. Its totient is φ = 475680522240.

The previous prime is 1989535006363. The next prime is 1989535006387. The reversal of 1989535006368 is 8636005359891.

1989535006368 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 5 + 3 + 500 + 63 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1989535006363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8687925678 + ... + 8687925906.

It is an arithmetic number, because the mean of its divisors is an integer number (4509577800).

Almost surely, 2^{1989535006368} is an apocalyptic number.

1989535006368 is a gapful number since it is divisible by the number (18) 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 1989535006368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896275219200).

1989535006368 is an abundant number, since it is smaller than the sum of its proper divisors (5803015432032).

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

1989535006368 is a wasteful number, since it uses less digits than its factorization.

1989535006368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 1989535006368 in words is "one trillion, nine hundred eighty-nine billion, five hundred thirty-five million, six thousand, three hundred sixty-eight".