54744412800 has 768 divisors, whose sum is σ = 232156569600. Its totient is φ = 11003904000.

The previous prime is 54744412787. The next prime is 54744412859. The reversal of 54744412800 is 821444745.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22914006 + ... + 22916394.

It is an arithmetic number, because the mean of its divisors is an integer number (302287200).

Almost surely, 2^54744412800 is an apocalyptic number.

54744412800 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 54744412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116078284800).

54744412800 is an abundant number, since it is smaller than the sum of its proper divisors (177412156800).

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

54744412800 is a wasteful number, since it uses less digits than its factorization.

54744412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 39.

The spelling of 54744412800 in words is "fifty-four billion, seven hundred forty-four million, four hundred twelve thousand, eight hundred".