5616128000 has 208 divisors, whose sum is σ = 16028673024. Its totient is φ = 1924300800.

The previous prime is 5616127997. The next prime is 5616128059. The reversal of 5616128000 is 8216165.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3583217 + ... + 3584783.

It is an arithmetic number, because the mean of its divisors is an integer number (77060928).

Almost surely, 2^5616128000 is an apocalyptic number.

5616128000 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 5616128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8014336512).

5616128000 is an abundant number, since it is smaller than the sum of its proper divisors (10412545024).

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

5616128000 is an equidigital number, since it uses as much as digits as its factorization.

5616128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 5616128000 is about 74940.8299927349. The cubic root of 5616128000 is about 1777.5111451974.

The spelling of 5616128000 in words is "five billion, six hundred sixteen million, one hundred twenty-eight thousand".