5516633304096 has 384 divisors, whose sum is σ = 15753263097600. Its totient is φ = 1686503669760.

The previous prime is 5516633304053. The next prime is 5516633304173. The reversal of 5516633304096 is 6904033366155.

It is a super-2 number, since 2×5516633304096² (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1151936070 + ... + 1151940858.

It is an arithmetic number, because the mean of its divisors is an integer number (41024122650).

Almost surely, 2^{5516633304096} 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 5516633304096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7876631548800).

5516633304096 is an abundant number, since it is smaller than the sum of its proper divisors (10236629793504).

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

5516633304096 is a wasteful number, since it uses less digits than its factorization.

5516633304096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 51.

The spelling of 5516633304096 in words is "five trillion, five hundred sixteen billion, six hundred thirty-three million, three hundred four thousand, ninety-six".