5608152000 has 672 divisors, whose sum is σ = 22413553344. Its totient is φ = 1327104000.

The previous prime is 5608151959. The next prime is 5608152007. The reversal of 5608152000 is 2518065.

5608152000 is a `hidden beast` number, since 5 + 60 + 81 + 520 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5608152007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57815952 + ... + 57816048.

It is an arithmetic number, because the mean of its divisors is an integer number (33353502).

Almost surely, 2^5608152000 is an apocalyptic number.

5608152000 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 5608152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11206776672).

5608152000 is an abundant number, since it is smaller than the sum of its proper divisors (16805401344).

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

5608152000 is a wasteful number, since it uses less digits than its factorization.

5608152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5608152000 is about 74887.5957685917. The cubic root of 5608152000 is about 1776.6692753915.

The spelling of 5608152000 in words is "five billion, six hundred eight million, one hundred fifty-two thousand".