53228322201600 has 4032 divisors, whose sum is σ = 247445476761600. Its totient is φ = 10980777000960.

The previous prime is 53228322201599. The next prime is 53228322201601. The reversal of 53228322201600 is 610222382235.

53228322201600 is a `hidden beast` number, since 5 + 3 + 2 + 2 + 8 + 3 + 22 + 20 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (53228322201599) and next prime (53228322201601).

It is a tau number, because it is divible by the number of its divisors (4032).

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 (53228322201601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 516779827149 + ... + 516779827251.

Almost surely, 2^{53228322201600} is an apocalyptic number.

53228322201600 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 53228322201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123722738380800).

53228322201600 is an abundant number, since it is smaller than the sum of its proper divisors (194217154560000).

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

53228322201600 is a wasteful number, since it uses less digits than its factorization.

53228322201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 53228322201600 its reverse (610222382235), we get a palindrome (53838544583835).

The spelling of 53228322201600 in words is "fifty-three trillion, two hundred twenty-eight billion, three hundred twenty-two million, two hundred one thousand, six hundred".