54350144000 has 80 divisors (see below), whose sum is σ = 135525640536. Its totient is φ = 21740032000.

The previous prime is 54350143999. The next prime is 54350144039. The reversal of 54350144000 is 44105345.

It can be written as a sum of positive squares in 4 ways, for example, as 22711695616 + 31638448384 = 150704^2 + 177872^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360611 + ... + 488610.

Almost surely, 2^54350144000 is an apocalyptic number.

54350144000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54350144000 is an abundant number, since it is smaller than the sum of its proper divisors (81175496536).

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

54350144000 is an frugal number, since it uses more digits than its factorization.

54350144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849254 (or 849228 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 54350144000 its reverse (44105345), we get a palindrome (54394249345).

The spelling of 54350144000 in words is "fifty-four billion, three hundred fifty million, one hundred forty-four thousand".