5510872214208 has 448 divisors, whose sum is σ = 16870187443200. Its totient is φ = 1761959485440.

The previous prime is 5510872214201. The next prime is 5510872214213. The reversal of 5510872214208 is 8024122780155.

5510872214208 is a `hidden beast` number, since 5 + 510 + 8 + 72 + 21 + 42 + 0 + 8 = 666.

It is a super-3 number, since 3×5510872214208³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5510872214201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7580291541 + ... + 7580292267.

It is an arithmetic number, because the mean of its divisors is an integer number (37656668400).

Almost surely, 2^{5510872214208} is an apocalyptic number.

5510872214208 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5510872214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8435093721600).

5510872214208 is an abundant number, since it is smaller than the sum of its proper divisors (11359315228992).

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

5510872214208 is a wasteful number, since it uses less digits than its factorization.

5510872214208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 5510872214208 in words is "five trillion, five hundred ten billion, eight hundred seventy-two million, two hundred fourteen thousand, two hundred eight".