5382016000 has 176 divisors, whose sum is σ = 14140020960. Its totient is φ = 2038579200.

The previous prime is 5382015929. The next prime is 5382016007. The reversal of 5382016000 is 6102835.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5382016007) 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, 2430894 + ... + 2433106.

Almost surely, 2^5382016000 is an apocalyptic number.

5382016000 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 5382016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070010480).

5382016000 is an abundant number, since it is smaller than the sum of its proper divisors (8758004960).

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

5382016000 is a wasteful number, since it uses less digits than its factorization.

5382016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 5382016000 is about 73362.2246118532. The cubic root of 5382016000 is about 1752.4608644207.

Adding to 5382016000 its reverse (6102835), we get a palindrome (5388118835).

The spelling of 5382016000 in words is "five billion, three hundred eighty-two million, sixteen thousand".