54435334400 has 162 divisors, whose sum is σ = 142206589602. Its totient is φ = 20627251200.

The previous prime is 54435334397. The next prime is 54435334409. The reversal of 54435334400 is 443353445.

It can be written as a sum of positive squares in 3 ways, for example, as 492484864 + 53942849536 = 22192^2 + 232256^2 .

It is not an unprimeable number, because it can be changed into a prime (54435334409) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2298620 + ... + 2322180.

Almost surely, 2^54435334400 is an apocalyptic number.

54435334400 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 54435334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71103294801).

54435334400 is an abundant number, since it is smaller than the sum of its proper divisors (87771255202).

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

54435334400 is a wasteful number, since it uses less digits than its factorization.

54435334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23625 (or 23587 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 54435334400 its reverse (443353445), we get a palindrome (54878687845).

The spelling of 54435334400 in words is "fifty-four billion, four hundred thirty-five million, three hundred thirty-four thousand, four hundred".