5601188736 has 384 divisors, whose sum is σ = 19160275680. Its totient is φ = 1561190400.

The previous prime is 5601188711. The next prime is 5601188741. The reversal of 5601188736 is 6378811065.

5601188736 is a `hidden beast` number, since 5 + 601 + 1 + 8 + 8 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 5601188691 and 5601188700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19932916 + ... + 19933196.

Almost surely, 2^5601188736 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 5601188736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580137840).

5601188736 is an abundant number, since it is smaller than the sum of its proper divisors (13559086944).

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

5601188736 is a wasteful number, since it uses less digits than its factorization.

5601188736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5601188736 is about 74841.0898905140. The cubic root of 5601188736 is about 1775.9336473871.

The spelling of 5601188736 in words is "five billion, six hundred one million, one hundred eighty-eight thousand, seven hundred thirty-six".