55702221250200 has 768 divisors, whose sum is σ = 205422292131840. Its totient is φ = 12222067200000.

The previous prime is 55702221250189. The next prime is 55702221250231. The reversal of 55702221250200 is 205212220755.

55702221250200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3587434837 + ... + 3587450363.

It is an arithmetic number, because the mean of its divisors is an integer number (267476942880).

Almost surely, 2^{55702221250200} is an apocalyptic number.

55702221250200 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 55702221250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102711146065920).

55702221250200 is an abundant number, since it is smaller than the sum of its proper divisors (149720070881640).

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

55702221250200 is a wasteful number, since it uses less digits than its factorization.

55702221250200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15928 (or 15919 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 33.

Adding to 55702221250200 its reverse (205212220755), we get a palindrome (55907433470955).

The spelling of 55702221250200 in words is "fifty-five trillion, seven hundred two billion, two hundred twenty-one million, two hundred fifty thousand, two hundred".