5601557551590 has 768 divisors, whose sum is σ = 20288765952000. Its totient is φ = 1034438169600.

The previous prime is 5601557551571. The next prime is 5601557551619. The reversal of 5601557551590 is 951557551065.

5601557551590 is a `hidden beast` number, since 5 + 6 + 0 + 1 + 55 + 75 + 515 + 9 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 555760171 + ... + 555770249.

It is an arithmetic number, because the mean of its divisors is an integer number (26417664000).

Almost surely, 2^{5601557551590} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5601557551590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10144382976000).

5601557551590 is an abundant number, since it is smaller than the sum of its proper divisors (14687208400410).

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

5601557551590 is a wasteful number, since it uses less digits than its factorization.

5601557551590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10353 (or 10350 counting only the distinct ones).

The product of its (nonzero) digits is 5906250, while the sum is 54.

The spelling of 5601557551590 in words is "five trillion, six hundred one billion, five hundred fifty-seven million, five hundred fifty-one thousand, five hundred ninety".