5510166480 has 960 divisors, whose sum is σ = 25070062080. Its totient is φ = 1082916864.

The previous prime is 5510166469. The next prime is 5510166491. The reversal of 5510166480 is 846610155.

5510166480 is a `hidden beast` number, since 5 + 5 + 1 + 0 + 1 + 6 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5510166469) and next prime (5510166491).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 56805792 + ... + 56805888.

It is an arithmetic number, because the mean of its divisors is an integer number (26114648).

Almost surely, 2^5510166480 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 5510166480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12535031040).

5510166480 is an abundant number, since it is smaller than the sum of its proper divisors (19559895600).

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

5510166480 is a wasteful number, since it uses less digits than its factorization.

5510166480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5510166480 is about 74230.4956200617. The cubic root of 5510166480 is about 1766.2611108158.

The spelling of 5510166480 in words is "five billion, five hundred ten million, one hundred sixty-six thousand, four hundred eighty".