5512116828960 has 576 divisors, whose sum is σ = 22048238983680. Its totient is φ = 1227936153600.

The previous prime is 5512116828941. The next prime is 5512116828971. The reversal of 5512116828960 is 698286112155.

5512116828960 is a `hidden beast` number, since 5 + 512 + 1 + 1 + 68 + 2 + 8 + 9 + 60 = 666.

It is a super-2 number, since 2×5512116828960² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5512116828897 and 5512116828906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80636076 + ... + 80704404.

It is an arithmetic number, because the mean of its divisors is an integer number (38278192680).

Almost surely, 2^{5512116828960} 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 5512116828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11024119491840).

5512116828960 is an abundant number, since it is smaller than the sum of its proper divisors (16536122154720).

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

5512116828960 is a wasteful number, since it uses less digits than its factorization.

5512116828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68561 (or 68550 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 5512116828960 in words is "five trillion, five hundred twelve billion, one hundred sixteen million, eight hundred twenty-eight thousand, nine hundred sixty".