5757225984000 has 1344 divisors, whose sum is σ = 22807045340352. Its totient is φ = 1443889152000.

The previous prime is 5757225983939. The next prime is 5757225984019. The reversal of 5757225984000 is 4895227575.

5757225984000 is a `hidden beast` number, since 5 + 7 + 5 + 7 + 2 + 2 + 598 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4230143320 + ... + 4230144680.

It is an arithmetic number, because the mean of its divisors is an integer number (16969527783).

Almost surely, 2^{5757225984000} is an apocalyptic number.

5757225984000 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 5757225984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11403522670176).

5757225984000 is an abundant number, since it is smaller than the sum of its proper divisors (17049819356352).

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

5757225984000 is an equidigital number, since it uses as much as digits as its factorization.

5757225984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 5757225984000 in words is "five trillion, seven hundred fifty-seven billion, two hundred twenty-five million, nine hundred eighty-four thousand".