5938368000 has 320 divisors, whose sum is σ = 19970203968. Its totient is φ = 1565491200.

The previous prime is 5938367989. The next prime is 5938368013. The reversal of 5938368000 is 8638395.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30143902 + ... + 30144098.

Almost surely, 2^5938368000 is an apocalyptic number.

5938368000 is a gapful number since it is divisible by the number (50) 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 5938368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9985101984).

5938368000 is an abundant number, since it is smaller than the sum of its proper divisors (14031835968).

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

5938368000 is a wasteful number, since it uses less digits than its factorization.

5938368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 5938368000 is about 77060.8071590222. The cubic root of 5938368000 is about 1810.8773459966.

The spelling of 5938368000 in words is "five billion, nine hundred thirty-eight million, three hundred sixty-eight thousand".