52921781348352 has 576 divisors, whose sum is σ = 168882960355200. Its totient is φ = 14687885721600.

The previous prime is 52921781348351. The next prime is 52921781348369. The reversal of 52921781348352 is 25384318712925.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (52921781348351) 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 47 ways as a sum of consecutive naturals, for example, 1611536349 + ... + 1611569187.

It is an arithmetic number, because the mean of its divisors is an integer number (293199583950).

Almost surely, 2^{52921781348352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52921781348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84441480177600).

52921781348352 is an abundant number, since it is smaller than the sum of its proper divisors (115961179006848).

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

52921781348352 is a wasteful number, since it uses less digits than its factorization.

52921781348352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33032 (or 33005 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 60.

The spelling of 52921781348352 in words is "fifty-two trillion, nine hundred twenty-one billion, seven hundred eighty-one million, three hundred forty-eight thousand, three hundred fifty-two".