54124800000 has 288 divisors, whose sum is σ = 180424389600. Its totient is φ = 14428160000.

The previous prime is 54124799987. The next prime is 54124800109. The reversal of 54124800000 is 842145.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 19198591 + ... + 19201409.

It is an arithmetic number, because the mean of its divisors is an integer number (626473575).

Almost surely, 2^54124800000 is an apocalyptic number.

54124800000 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 54124800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90212194800).

54124800000 is an abundant number, since it is smaller than the sum of its proper divisors (126299589600).

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

54124800000 is an frugal number, since it uses more digits than its factorization.

54124800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 54124800000 in words is "fifty-four billion, one hundred twenty-four million, eight hundred thousand".