54541344000000 has 2688 divisors, whose sum is σ = 222509214345600. Its totient is φ = 11698176000000.

The previous prime is 54541343999983. The next prime is 54541344000001. The reversal of 54541344000000 is 44314545.

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

It is not an unprimeable number, because it can be changed into a prime (54541344000001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 398111999932 + ... + 398112000068.

It is an arithmetic number, because the mean of its divisors is an integer number (82778725575).

Almost surely, 2^{54541344000000} is an apocalyptic number.

54541344000000 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 54541344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111254607172800).

54541344000000 is an abundant number, since it is smaller than the sum of its proper divisors (167967870345600).

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

54541344000000 is a wasteful number, since it uses less digits than its factorization.

54541344000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 54541344000000 its reverse (44314545), we get a palindrome (54541388314545).

The spelling of 54541344000000 in words is "fifty-four trillion, five hundred forty-one billion, three hundred forty-four million", and thus it is an aban number.