52146213600 has 288 divisors, whose sum is σ = 183868169184. Its totient is φ = 12760473600.

The previous prime is 52146213527. The next prime is 52146213601. The reversal of 52146213600 is 631264125.

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 (52146213601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5392770 + ... + 5402430.

It is an arithmetic number, because the mean of its divisors is an integer number (638431143).

Almost surely, 2^52146213600 is an apocalyptic number.

52146213600 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 52146213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91934084592).

52146213600 is an abundant number, since it is smaller than the sum of its proper divisors (131721955584).

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

52146213600 is a wasteful number, since it uses less digits than its factorization.

52146213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9870 (or 9857 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 52146213600 its reverse (631264125), we get a palindrome (52777477725).

The spelling of 52146213600 in words is "fifty-two billion, one hundred forty-six million, two hundred thirteen thousand, six hundred".