52337979724800 has 1584 divisors, whose sum is σ = 219925838845440. Its totient is φ = 10855047168000.

The previous prime is 52337979724769. The next prime is 52337979724801. The reversal of 52337979724800 is 842797973325.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52337979724801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33571506421 + ... + 33571507979.

Almost surely, 2^{52337979724800} is an apocalyptic number.

52337979724800 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 52337979724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109962919422720).

52337979724800 is an abundant number, since it is smaller than the sum of its proper divisors (167587859120640).

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

52337979724800 is a wasteful number, since it uses less digits than its factorization.

52337979724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 66.

The spelling of 52337979724800 in words is "fifty-two trillion, three hundred thirty-seven billion, nine hundred seventy-nine million, seven hundred twenty-four thousand, eight hundred".