54450532400 has 180 divisors, whose sum is σ = 144243616776. Its totient is φ = 19737907200.

The previous prime is 54450532349. The next prime is 54450532403. The reversal of 54450532400 is 423505445.

It is not an unprimeable number, because it can be changed into a prime (54450532403) 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 35 ways as a sum of consecutive naturals, for example, 17083607 + ... + 17086793.

Almost surely, 2^54450532400 is an apocalyptic number.

54450532400 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 54450532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72121808388).

54450532400 is an abundant number, since it is smaller than the sum of its proper divisors (89793084376).

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

54450532400 is a wasteful number, since it uses less digits than its factorization.

54450532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The spelling of 54450532400 in words is "fifty-four billion, four hundred fifty million, five hundred thirty-two thousand, four hundred".