5601352608 has 192 divisors, whose sum is σ = 17408563200. Its totient is φ = 1747111680.

The previous prime is 5601352571. The next prime is 5601352609. The reversal of 5601352608 is 8062531065.

5601352608 is a `hidden beast` number, since 560 + 1 + 35 + 2 + 60 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5601352609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1360473 + ... + 1364583.

It is an arithmetic number, because the mean of its divisors is an integer number (90669600).

Almost surely, 2^5601352608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5601352608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704281600).

5601352608 is an abundant number, since it is smaller than the sum of its proper divisors (11807210592).

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

5601352608 is a wasteful number, since it uses less digits than its factorization.

5601352608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5601352608 is about 74842.1846821697. The cubic root of 5601352608 is about 1775.9509665060.

The spelling of 5601352608 in words is "five billion, six hundred one million, three hundred fifty-two thousand, six hundred eight".