55200214140 has 192 divisors, whose sum is σ = 169576364160. Its totient is φ = 13354270720.

The previous prime is 55200214099. The next prime is 55200214171. The reversal of 55200214140 is 4141200255.

55200214140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55200214140² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55200214140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24284044 + ... + 24286316.

It is an arithmetic number, because the mean of its divisors is an integer number (883210230).

Almost surely, 2^55200214140 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 55200214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84788182080).

55200214140 is an abundant number, since it is smaller than the sum of its proper divisors (114376150020).

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

55200214140 is a wasteful number, since it uses less digits than its factorization.

55200214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3150 counting only the distinct ones).

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

Adding to 55200214140 its reverse (4141200255), we get a palindrome (59341414395).

The spelling of 55200214140 in words is "fifty-five billion, two hundred million, two hundred fourteen thousand, one hundred forty".