54216450400 has 288 divisors, whose sum is σ = 154064514240. Its totient is φ = 18247680000.

The previous prime is 54216450389. The next prime is 54216450413. The reversal of 54216450400 is 405461245.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90210100 + ... + 90210700.

It is an arithmetic number, because the mean of its divisors is an integer number (534946230).

Almost surely, 2^54216450400 is an apocalyptic number.

54216450400 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 54216450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77032257120).

54216450400 is an abundant number, since it is smaller than the sum of its proper divisors (99848063840).

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

54216450400 is a wasteful number, since it uses less digits than its factorization.

54216450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 54216450400 in words is "fifty-four billion, two hundred sixteen million, four hundred fifty thousand, four hundred".