54785221200 has 360 divisors, whose sum is σ = 197063982336. Its totient is φ = 14079744000.

The previous prime is 54785221171. The next prime is 54785221237. The reversal of 54785221200 is 212258745.

It is a happy number.

54785221200 is a `hidden beast` number, since 5 + 4 + 7 + 8 + 522 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 31358727 + ... + 31360473.

Almost surely, 2^54785221200 is an apocalyptic number.

54785221200 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 54785221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98531991168).

54785221200 is an abundant number, since it is smaller than the sum of its proper divisors (142278761136).

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

54785221200 is a wasteful number, since it uses less digits than its factorization.

54785221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 54785221200 its reverse (212258745), we get a palindrome (54997479945).

The spelling of 54785221200 in words is "fifty-four billion, seven hundred eighty-five million, two hundred twenty-one thousand, two hundred".