5338368000 has 576 divisors, whose sum is σ = 22057176960. Its totient is φ = 1216512000.

The previous prime is 5338367981. The next prime is 5338368023. The reversal of 5338368000 is 8638335.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16127835 + ... + 16128165.

It is an arithmetic number, because the mean of its divisors is an integer number (38293710).

Almost surely, 2^5338368000 is an apocalyptic number.

5338368000 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 5338368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11028588480).

5338368000 is an abundant number, since it is smaller than the sum of its proper divisors (16718808960).

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

5338368000 is a wasteful number, since it uses less digits than its factorization.

5338368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5338368000 is about 73064.1362092237. The cubic root of 5338368000 is about 1747.7105298737.

The spelling of 5338368000 in words is "five billion, three hundred thirty-eight million, three hundred sixty-eight thousand".