54514203242400 has 432 divisors, whose sum is σ = 212360761791360. Its totient is φ = 13048277299200.

The previous prime is 54514203242377. The next prime is 54514203242407. The reversal of 54514203242400 is 424230241545.

54514203242400 is a `hidden beast` number, since 5 + 4 + 5 + 1 + 4 + 2 + 0 + 3 + 242 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54514203242407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1900404 + ... + 10613196.

It is an arithmetic number, because the mean of its divisors is an integer number (491575837480).

Almost surely, 2^{54514203242400} is an apocalyptic number.

54514203242400 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 54514203242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106180380895680).

54514203242400 is an abundant number, since it is smaller than the sum of its proper divisors (157846558548960).

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

54514203242400 is a wasteful number, since it uses less digits than its factorization.

54514203242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712909 (or 8712893 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 54514203242400 its reverse (424230241545), we get a palindrome (54938433483945).

The spelling of 54514203242400 in words is "fifty-four trillion, five hundred fourteen billion, two hundred three million, two hundred forty-two thousand, four hundred".