52032224352000 has 576 divisors, whose sum is σ = 180485799137280. Its totient is φ = 13261197312000.

The previous prime is 52032224351927. The next prime is 52032224352007. The reversal of 52032224352000 is 25342223025.

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 (52032224352007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2916759081 + ... + 2916776919.

It is an arithmetic number, because the mean of its divisors is an integer number (313343401280).

Almost surely, 2^{52032224352000} is an apocalyptic number.

52032224352000 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 52032224352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90242899568640).

52032224352000 is an abundant number, since it is smaller than the sum of its proper divisors (128453574785280).

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

52032224352000 is a wasteful number, since it uses less digits than its factorization.

52032224352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19217 (or 19193 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 52032224352000 its reverse (25342223025), we get a palindrome (52057566575025).

The spelling of 52032224352000 in words is "fifty-two trillion, thirty-two billion, two hundred twenty-four million, three hundred fifty-two thousand".