54540541200 has 240 divisors, whose sum is σ = 184341326400. Its totient is φ = 13746124800.

The previous prime is 54540541199. The next prime is 54540541201. The reversal of 54540541200 is 214504545.

54540541200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54540541199) and next prime (54540541201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (54540541201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10508206 + ... + 10513394.

It is an arithmetic number, because the mean of its divisors is an integer number (768088860).

Almost surely, 2^54540541200 is an apocalyptic number.

54540541200 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 54540541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92170663200).

54540541200 is an abundant number, since it is smaller than the sum of its proper divisors (129800785200).

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

54540541200 is a wasteful number, since it uses less digits than its factorization.

54540541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 54540541200 in words is "fifty-four billion, five hundred forty million, five hundred forty-one thousand, two hundred".