54555264800 has 72 divisors (see below), whose sum is σ = 133418218500. Its totient is φ = 21783572480.

The previous prime is 54555264787. The next prime is 54555264811. The reversal of 54555264800 is 846255545.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7210727056 + 47344537744 = 84916^2 + 217588^2 .

It is a super-3 number, since 3×54555264800³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395276 + ... + 515124.

Almost surely, 2^54555264800 is an apocalyptic number.

54555264800 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 54555264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66709109250).

54555264800 is an abundant number, since it is smaller than the sum of its proper divisors (78862953700).

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

54555264800 is a wasteful number, since it uses less digits than its factorization.

54555264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120438 (or 120425 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 44.

The spelling of 54555264800 in words is "fifty-four billion, five hundred fifty-five million, two hundred sixty-four thousand, eight hundred".