54148201800 has 576 divisors, whose sum is σ = 215446210560. Its totient is φ = 11007321600.

The previous prime is 54148201747. The next prime is 54148201819. The reversal of 54148201800 is 810284145.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23884267 + ... + 23886533.

It is an arithmetic number, because the mean of its divisors is an integer number (374038560).

Almost surely, 2^54148201800 is an apocalyptic number.

54148201800 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 54148201800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107723105280).

54148201800 is an abundant number, since it is smaller than the sum of its proper divisors (161298008760).

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

54148201800 is a wasteful number, since it uses less digits than its factorization.

54148201800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

Adding to 54148201800 its reverse (810284145), we get a palindrome (54958485945).

The spelling of 54148201800 in words is "fifty-four billion, one hundred forty-eight million, two hundred one thousand, eight hundred".