5511665333460 has 576 divisors, whose sum is σ = 18683222261760. Its totient is φ = 1202922639360.

The previous prime is 5511665333459. The next prime is 5511665333491. The reversal of 5511665333460 is 643335661155.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1640863261 + ... + 1640866619.

It is an arithmetic number, because the mean of its divisors is an integer number (32436149760).

Almost surely, 2^{5511665333460} 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 5511665333460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9341611130880).

5511665333460 is an abundant number, since it is smaller than the sum of its proper divisors (13171556928300).

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

5511665333460 is a wasteful number, since it uses less digits than its factorization.

5511665333460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 48.

The spelling of 5511665333460 in words is "five trillion, five hundred eleven billion, six hundred sixty-five million, three hundred thirty-three thousand, four hundred sixty".