53302400003200 has 192 divisors, whose sum is σ = 134030418379200. Its totient is φ = 20942305218560.

The previous prime is 53302400003147. The next prime is 53302400003213. The reversal of 53302400003200 is 230000420335.

It is a super-2 number, since 2×53302400003200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45368781 + ... + 46528819.

It is an arithmetic number, because the mean of its divisors is an integer number (698075095725).

Almost surely, 2^{53302400003200} is an apocalyptic number.

53302400003200 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 53302400003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67015209189600).

53302400003200 is an abundant number, since it is smaller than the sum of its proper divisors (80728018376000).

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

53302400003200 is a wasteful number, since it uses less digits than its factorization.

53302400003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160319 (or 1160302 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

Adding to 53302400003200 its reverse (230000420335), we get a palindrome (53532400423535).

The spelling of 53302400003200 in words is "fifty-three trillion, three hundred two billion, four hundred million, three thousand, two hundred".