55102351200 has 576 divisors, whose sum is σ = 208138678272. Its totient is φ = 12550348800.

The previous prime is 55102351189. The next prime is 55102351201. The reversal of 55102351200 is 215320155.

It is a happy number.

It is a super-3 number, since 3×55102351200³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55102351201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22244362 + ... + 22246838.

It is an arithmetic number, because the mean of its divisors is an integer number (361351872).

Almost surely, 2^55102351200 is an apocalyptic number.

55102351200 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 55102351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104069339136).

55102351200 is an abundant number, since it is smaller than the sum of its proper divisors (153036327072).

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

55102351200 is a wasteful number, since it uses less digits than its factorization.

55102351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 55102351200 its reverse (215320155), we get a palindrome (55317671355).

The spelling of 55102351200 in words is "fifty-five billion, one hundred two million, three hundred fifty-one thousand, two hundred".