5514122880 has 384 divisors, whose sum is σ = 22213152000. Its totient is φ = 1259919360.

The previous prime is 5514122869. The next prime is 5514122891. The reversal of 5514122880 is 882214155.

5514122880 is a `hidden beast` number, since 551 + 4 + 1 + 2 + 28 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5514122869) and next prime (5514122891).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5514122880² = 60811102271478988800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974285 + ... + 1977075.

It is an arithmetic number, because the mean of its divisors is an integer number (57846750).

Almost surely, 2^5514122880 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 5514122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11106576000).

5514122880 is an abundant number, since it is smaller than the sum of its proper divisors (16699029120).

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

5514122880 is a wasteful number, since it uses less digits than its factorization.

5514122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5514122880 is about 74257.1402627384. The cubic root of 5514122880 is about 1766.6837455728.

The spelling of 5514122880 in words is "five billion, five hundred fourteen million, one hundred twenty-two thousand, eight hundred eighty".