52102234531200 has 384 divisors, whose sum is σ = 200130315840000. Its totient is φ = 11909081425920.

The previous prime is 52102234531099. The next prime is 52102234531201. The reversal of 52102234531200 is 213543220125.

It is a tau number, because it is divible by the number of its divisors (384).

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 (52102234531201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4618740 + ... + 11204339.

It is an arithmetic number, because the mean of its divisors is an integer number (521172697500).

Almost surely, 2^{52102234531200} is an apocalyptic number.

52102234531200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52102234531200 is an abundant number, since it is smaller than the sum of its proper divisors (148028081308800).

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

52102234531200 is a wasteful number, since it uses less digits than its factorization.

52102234531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15823127 (or 15823096 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 52102234531200 its reverse (213543220125), we get a palindrome (52315777751325).

The spelling of 52102234531200 in words is "fifty-two trillion, one hundred two billion, two hundred thirty-four million, five hundred thirty-one thousand, two hundred".