5511459604560 has 480 divisors, whose sum is σ = 21417172463232. Its totient is φ = 1162133360640.

The previous prime is 5511459604549. The next prime is 5511459604561. The reversal of 5511459604560 is 654069541155.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5511459604561) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 266153727 + ... + 266174433.

Almost surely, 2^{5511459604560} 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 5511459604560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10708586231616).

5511459604560 is an abundant number, since it is smaller than the sum of its proper divisors (15905712858672).

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

5511459604560 is a wasteful number, since it uses less digits than its factorization.

5511459604560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22491 (or 22478 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 51.

The spelling of 5511459604560 in words is "five trillion, five hundred eleven billion, four hundred fifty-nine million, six hundred four thousand, five hundred sixty".