5514117120 has 360 divisors, whose sum is σ = 19894549584. Its totient is φ = 1465122816.

The previous prime is 5514117029. The next prime is 5514117121. The reversal of 5514117120 is 217114155.

5514117120 is a `hidden beast` number, since 551 + 41 + 1 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5514117120² = 60810975226154188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5514117121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19906422 + ... + 19906698.

Almost surely, 2^5514117120 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 5514117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9947274792).

5514117120 is an abundant number, since it is smaller than the sum of its proper divisors (14380432464).

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

5514117120 is an frugal number, since it uses more digits than its factorization.

5514117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 5514117120 is about 74257.1014785791. The cubic root of 5514117120 is about 1766.6831304189.

The spelling of 5514117120 in words is "five billion, five hundred fourteen million, one hundred seventeen thousand, one hundred twenty".