5605006050006 has 64 divisors (see below), whose sum is σ = 12354634708992. Its totient is φ = 1681064000000.

The previous prime is 5605006049989. The next prime is 5605006050013. The reversal of 5605006050006 is 6000506005065.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18521371 + ... + 18821561.

It is an arithmetic number, because the mean of its divisors is an integer number (193041167328).

Almost surely, 2^{5605006050006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5605006050006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177317354496).

5605006050006 is an abundant number, since it is smaller than the sum of its proper divisors (6749628658986).

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

5605006050006 is a wasteful number, since it uses less digits than its factorization.

5605006050006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303109.

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 5605006050006 in words is "five trillion, six hundred five billion, six million, fifty thousand, six".