5514284880 has 480 divisors, whose sum is σ = 21269888640. Its totient is φ = 1269043200.

The previous prime is 5514284857. The next prime is 5514284887. The reversal of 5514284880 is 884824155.

It is a super-3 number, since 3×5514284880³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5514284887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17961687 + ... + 17961993.

It is an arithmetic number, because the mean of its divisors is an integer number (44312268).

Almost surely, 2^5514284880 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 5514284880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10634944320).

5514284880 is an abundant number, since it is smaller than the sum of its proper divisors (15755603760).

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

5514284880 is a wasteful number, since it uses less digits than its factorization.

5514284880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The square root of 5514284880 is about 74258.2310589203. The cubic root of 5514284880 is about 1766.7010465997.

The spelling of 5514284880 in words is "five billion, five hundred fourteen million, two hundred eighty-four thousand, eight hundred eighty".