5514241200 has 240 divisors, whose sum is σ = 19167106560. Its totient is φ = 1347056640.

The previous prime is 5514241189. The next prime is 5514241231. The reversal of 5514241200 is 21424155.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2167129 + ... + 2169671.

It is an arithmetic number, because the mean of its divisors is an integer number (79862944).

Almost surely, 2^5514241200 is an apocalyptic number.

5514241200 is a gapful number since it is divisible by the number (50) 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 5514241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9583553280).

5514241200 is an abundant number, since it is smaller than the sum of its proper divisors (13652865360).

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

5514241200 is a wasteful number, since it uses less digits than its factorization.

5514241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 5514241200 is about 74257.9369495275. The cubic root of 5514241200 is about 1766.6963817636.

Adding to 5514241200 its reverse (21424155), we get a palindrome (5535665355).

The spelling of 5514241200 in words is "five billion, five hundred fourteen million, two hundred forty-one thousand, two hundred".