53102221200000 has 1728 divisors, whose sum is σ = 223002818078040. Its totient is φ = 12092774400000.

The previous prime is 53102221199981. The next prime is 53102221200019. The reversal of 53102221200000 is 212220135.

It is an interprime number because it is at equal distance from previous prime (53102221199981) and next prime (53102221200019).

It can be written as a sum of positive squares in 12 ways, for example, as 36637259448384 + 16464961751616 = 6052872^2 + 4057704^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 81320399674 + ... + 81320400326.

Almost surely, 2^{53102221200000} is an apocalyptic number.

53102221200000 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 53102221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111501409039020).

53102221200000 is an abundant number, since it is smaller than the sum of its proper divisors (169900596878040).

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

53102221200000 is an equidigital number, since it uses as much as digits as its factorization.

53102221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 53102221200000 its reverse (212220135), we get a palindrome (53102433420135).

The spelling of 53102221200000 in words is "fifty-three trillion, one hundred two billion, two hundred twenty-one million, two hundred thousand".