53502153340200 has 768 divisors, whose sum is σ = 182313931161600. Its totient is φ = 12920828313600.

The previous prime is 53502153340199. The next prime is 53502153340267. The reversal of 53502153340200 is 204335120535.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72990659034 + ... + 72990659766.

It is an arithmetic number, because the mean of its divisors is an integer number (237387931200).

Almost surely, 2^{53502153340200} is an apocalyptic number.

53502153340200 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 53502153340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91156965580800).

53502153340200 is an abundant number, since it is smaller than the sum of its proper divisors (128811777821400).

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

53502153340200 is a wasteful number, since it uses less digits than its factorization.

53502153340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

Adding to 53502153340200 its reverse (204335120535), we get a palindrome (53706488460735).

The spelling of 53502153340200 in words is "fifty-three trillion, five hundred two billion, one hundred fifty-three million, three hundred forty thousand, two hundred".