54720820800 has 252 divisors, whose sum is σ = 204728094480. Its totient is φ = 13824138240.

The previous prime is 54720820771. The next prime is 54720820807. The reversal of 54720820800 is 802802745.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54720820807) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 173599 + ... + 373601.

Almost surely, 2^54720820800 is an apocalyptic number.

54720820800 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 54720820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102364047240).

54720820800 is an abundant number, since it is smaller than the sum of its proper divisors (150007273680).

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

54720820800 is a wasteful number, since it uses less digits than its factorization.

54720820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200050 (or 200032 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 54720820800 in words is "fifty-four billion, seven hundred twenty million, eight hundred twenty thousand, eight hundred".