53142315200 has 168 divisors, whose sum is σ = 141080032800. Its totient is φ = 19585843200.

The previous prime is 53142315169. The next prime is 53142315209. The reversal of 53142315200 is 251324135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 53142315200.

It is not an unprimeable number, because it can be changed into a prime (53142315209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13122776 + ... + 13126824.

It is an arithmetic number, because the mean of its divisors is an integer number (839762100).

Almost surely, 2^53142315200 is an apocalyptic number.

53142315200 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 53142315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70540016400).

53142315200 is an abundant number, since it is smaller than the sum of its proper divisors (87937717600).

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

53142315200 is a wasteful number, since it uses less digits than its factorization.

53142315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4715 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 53142315200 its reverse (251324135), we get a palindrome (53393639335).

The spelling of 53142315200 in words is "fifty-three billion, one hundred forty-two million, three hundred fifteen thousand, two hundred".