53353045200 has 480 divisors, whose sum is σ = 211158484992. Its totient is φ = 11213568000.

The previous prime is 53353045181. The next prime is 53353045201. The reversal of 53353045200 is 254035335.

It is a super-2 number, since 2×53353045200² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53353045201) 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 95 ways as a sum of consecutive naturals, for example, 33960415 + ... + 33961985.

Almost surely, 2^53353045200 is an apocalyptic number.

53353045200 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 53353045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105579242496).

53353045200 is an abundant number, since it is smaller than the sum of its proper divisors (157805439792).

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

53353045200 is a wasteful number, since it uses less digits than its factorization.

53353045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The spelling of 53353045200 in words is "fifty-three billion, three hundred fifty-three million, forty-five thousand, two hundred".