54440893200 has 120 divisors (see below), whose sum is σ = 174457633600. Its totient is φ = 14512135680.

The previous prime is 54440893193. The next prime is 54440893207. The reversal of 54440893200 is 239804445.

It is an interprime number because it is at equal distance from previous prime (54440893193) and next prime (54440893207).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (54440893207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3975966 + ... + 3989634.

Almost surely, 2^54440893200 is an apocalyptic number.

54440893200 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 54440893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87228816800).

54440893200 is an abundant number, since it is smaller than the sum of its proper divisors (120016740400).

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

54440893200 is a wasteful number, since it uses less digits than its factorization.

54440893200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17009 (or 16998 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 54440893200 in words is "fifty-four billion, four hundred forty million, eight hundred ninety-three thousand, two hundred".