5559190509600 has 2592 divisors, whose sum is σ = 26276752180224. Its totient is φ = 1120863744000.

The previous prime is 5559190509529. The next prime is 5559190509617. The reversal of 5559190509600 is 69050919555.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 431 ways as a sum of consecutive naturals, for example, 5289429075 + ... + 5289430125.

It is an arithmetic number, because the mean of its divisors is an integer number (10137635872).

Almost surely, 2^{5559190509600} is an apocalyptic number.

5559190509600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5559190509600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138376090112).

5559190509600 is an abundant number, since it is smaller than the sum of its proper divisors (20717561670624).

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

5559190509600 is a wasteful number, since it uses less digits than its factorization.

5559190509600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 2733750, while the sum is 54.

The spelling of 5559190509600 in words is "five trillion, five hundred fifty-nine billion, one hundred ninety million, five hundred nine thousand, six hundred".