54526544800 has 576 divisors, whose sum is σ = 173952866304. Its totient is φ = 16223846400.

The previous prime is 54526544771. The next prime is 54526544827. The reversal of 54526544800 is 844562545.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 83501274 + ... + 83501926.

It is an arithmetic number, because the mean of its divisors is an integer number (302001504).

Almost surely, 2^54526544800 is an apocalyptic number.

54526544800 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 54526544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86976433152).

54526544800 is an abundant number, since it is smaller than the sum of its proper divisors (119426321504).

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

54526544800 is a wasteful number, since it uses less digits than its factorization.

54526544800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 43.

The spelling of 54526544800 in words is "fifty-four billion, five hundred twenty-six million, five hundred forty-four thousand, eight hundred".