5590511559360 has 2688 divisors, whose sum is σ = 25762963968000. Its totient is φ = 1133927424000.

The previous prime is 5590511559299. The next prime is 5590511559377. The reversal of 5590511559360 is 639551150955.

5590511559360 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 51 + 1 + 559 + 36 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5590511559297 and 5590511559306.

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 383 ways as a sum of consecutive naturals, for example, 37023255285 + ... + 37023255435.

It is an arithmetic number, because the mean of its divisors is an integer number (9584436000).

Almost surely, 2^{5590511559360} 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 5590511559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12881481984000).

5590511559360 is an abundant number, since it is smaller than the sum of its proper divisors (20172452408640).

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

5590511559360 is a wasteful number, since it uses less digits than its factorization.

5590511559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4556250, while the sum is 54.

The spelling of 5590511559360 in words is "five trillion, five hundred ninety billion, five hundred eleven million, five hundred fifty-nine thousand, three hundred sixty".