54551361546200 has 192 divisors, whose sum is σ = 131282645944320. Its totient is φ = 21058773120000.

The previous prime is 54551361546193. The next prime is 54551361546203. The reversal of 54551361546200 is 264516315545.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54551361546203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3542058500 + ... + 3542073900.

It is an arithmetic number, because the mean of its divisors is an integer number (683763780960).

Almost surely, 2^{54551361546200} is an apocalyptic number.

54551361546200 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 54551361546200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65641322972160).

54551361546200 is an abundant number, since it is smaller than the sum of its proper divisors (76731284398120).

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

54551361546200 is a wasteful number, since it uses less digits than its factorization.

54551361546200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16978 (or 16969 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 47.

The spelling of 54551361546200 in words is "fifty-four trillion, five hundred fifty-one billion, three hundred sixty-one million, five hundred forty-six thousand, two hundred".