5601906820608 has 640 divisors, whose sum is σ = 18511815168000. Its totient is φ = 1499518992384.

The previous prime is 5601906820603. The next prime is 5601906820621. The reversal of 5601906820608 is 8060286091065.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5601906820603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2140582116 + ... + 2140584732.

It is an arithmetic number, because the mean of its divisors is an integer number (28924711200).

Almost surely, 2^{5601906820608} 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 5601906820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255907584000).

5601906820608 is an abundant number, since it is smaller than the sum of its proper divisors (12909908347392).

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

5601906820608 is a wasteful number, since it uses less digits than its factorization.

5601906820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 5601906820608 in words is "five trillion, six hundred one billion, nine hundred six million, eight hundred twenty thousand, six hundred eight".