5753324088288 has 288 divisors, whose sum is σ = 19786573497600. Its totient is φ = 1643806120320.

The previous prime is 5753324088209. The next prime is 5753324088329. The reversal of 5753324088288 is 8828804233575.

It is a happy number.

5753324088288 is a `hidden beast` number, since 5 + 7 + 5 + 33 + 240 + 88 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1588623 + ... + 3745713.

It is an arithmetic number, because the mean of its divisors is an integer number (68703380200).

Almost surely, 2^{5753324088288} 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 5753324088288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9893286748800).

5753324088288 is an abundant number, since it is smaller than the sum of its proper divisors (14033249409312).

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

5753324088288 is an equidigital number, since it uses as much as digits as its factorization.

5753324088288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157137 (or 2157103 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 5753324088288 in words is "five trillion, seven hundred fifty-three billion, three hundred twenty-four million, eighty-eight thousand, two hundred eighty-eight".