54344908800 has 1344 divisors, whose sum is σ = 248698509360. Its totient is φ = 11466178560.

The previous prime is 54344908789. The next prime is 54344908801. The reversal of 54344908800 is 880944345.

It is a happy number.

54344908800 is a `hidden beast` number, since 54 + 34 + 490 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×54344908800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54344908801) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4180377594 + ... + 4180377606.

Almost surely, 2^54344908800 is an apocalyptic number.

54344908800 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 54344908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124349254680).

54344908800 is an abundant number, since it is smaller than the sum of its proper divisors (194353600560).

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

54344908800 is an frugal number, since it uses more digits than its factorization.

54344908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 54344908800 in words is "fifty-four billion, three hundred forty-four million, nine hundred eight thousand, eight hundred".