54145323040 has 96 divisors (see below), whose sum is σ = 133975005696. Its totient is φ = 20639646720.

The previous prime is 54145322999. The next prime is 54145323059. The reversal of 54145323040 is 4032354145.

It is a junction number, because it is equal to n+sod(n) for n = 54145322993 and 54145323011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970134 + ... + 1024426.

It is an arithmetic number, because the mean of its divisors is an integer number (1395572976).

Almost surely, 2^54145323040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54145323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66987502848).

54145323040 is an abundant number, since it is smaller than the sum of its proper divisors (79829682656).

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

54145323040 is a wasteful number, since it uses less digits than its factorization.

54145323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54602 (or 54594 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 54145323040 its reverse (4032354145), we get a palindrome (58177677185).

The spelling of 54145323040 in words is "fifty-four billion, one hundred forty-five million, three hundred twenty-three thousand, forty".