54054148219200 has 1512 divisors, whose sum is σ = 216025508357568. Its totient is φ = 13248034652160.

The previous prime is 54054148219171. The next prime is 54054148219207. The reversal of 54054148219200 is 291284145045.

54054148219200 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 414 + 8 + 21 + 9 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54054148219207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12221148189 + ... + 12221152611.

It is an arithmetic number, because the mean of its divisors is an integer number (142874013464).

Almost surely, 2^{54054148219200} is an apocalyptic number.

54054148219200 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 54054148219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108012754178784).

54054148219200 is an abundant number, since it is smaller than the sum of its proper divisors (161971360138368).

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

54054148219200 is a wasteful number, since it uses less digits than its factorization.

54054148219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 54054148219200 in words is "fifty-four trillion, fifty-four billion, one hundred forty-eight million, two hundred nineteen thousand, two hundred".