5601688560 has 240 divisors, whose sum is σ = 20593661088. Its totient is φ = 1356134400.

The previous prime is 5601688537. The next prime is 5601688567. The reversal of 5601688560 is 658861065.

5601688560 is a `hidden beast` number, since 5 + 6 + 0 + 1 + 6 + 88 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5601688567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566055 + ... + 575865.

Almost surely, 2^5601688560 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 5601688560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10296830544).

5601688560 is an abundant number, since it is smaller than the sum of its proper divisors (14991972528).

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

5601688560 is a wasteful number, since it uses less digits than its factorization.

5601688560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9904 (or 9895 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5601688560 is about 74844.4290511993. The cubic root of 5601688560 is about 1775.9864711655.

The spelling of 5601688560 in words is "five billion, six hundred one million, six hundred eighty-eight thousand, five hundred sixty".