54433513200000 has 1152 divisors, whose sum is σ = 200764077776640. Its totient is φ = 12956160000000.

The previous prime is 54433513199999. The next prime is 54433513200083. The reversal of 54433513200000 is 231533445.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 225865199880 + ... + 225865200120.

It is an arithmetic number, because the mean of its divisors is an integer number (174274373070).

Almost surely, 2^{54433513200000} is an apocalyptic number.

54433513200000 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 54433513200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100382038888320).

54433513200000 is an abundant number, since it is smaller than the sum of its proper divisors (146330564576640).

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

54433513200000 is an frugal number, since it uses more digits than its factorization.

54433513200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 54433513200000 its reverse (231533445), we get a palindrome (54433744733445).

The spelling of 54433513200000 in words is "fifty-four trillion, four hundred thirty-three billion, five hundred thirteen million, two hundred thousand".