5318352000 has 512 divisors, whose sum is σ = 21118406400. Its totient is φ = 1307750400.

The previous prime is 5318351999. The next prime is 5318352007. The reversal of 5318352000 is 2538135.

5318352000 is a `hidden beast` number, since 531 + 83 + 52 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5318352007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5615527 + ... + 5616473.

Almost surely, 2^5318352000 is an apocalyptic number.

5318352000 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 5318352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10559203200).

5318352000 is an abundant number, since it is smaller than the sum of its proper divisors (15800054400).

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

5318352000 is a wasteful number, since it uses less digits than its factorization.

5318352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5318352000 is about 72927.0320251688. The cubic root of 5318352000 is about 1745.5234702896.

The spelling of 5318352000 in words is "five billion, three hundred eighteen million, three hundred fifty-two thousand".