55461411200 has 192 divisors, whose sum is σ = 147934802400. Its totient is φ = 20424130560.

The previous prime is 55461411193. The next prime is 55461411251. The reversal of 55461411200 is 211416455.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18011261 + ... + 18014339.

Almost surely, 2^55461411200 is an apocalyptic number.

55461411200 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 55461411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73967401200).

55461411200 is an abundant number, since it is smaller than the sum of its proper divisors (92473391200).

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

55461411200 is a wasteful number, since it uses less digits than its factorization.

55461411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 55461411200 its reverse (211416455), we get a palindrome (55672827655).

The spelling of 55461411200 in words is "fifty-five billion, four hundred sixty-one million, four hundred eleven thousand, two hundred".