1057328852944 has 320 divisors, whose sum is σ = 2629831680000. Its totient is φ = 409084300800.

The previous prime is 1057328852851. The next prime is 1057328852959. The reversal of 1057328852944 is 4492588237501.

It is a super-2 number, since 2×1057328852944² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1006021219 + ... + 1006022269.

It is an arithmetic number, because the mean of its divisors is an integer number (8218224000).

Almost surely, 2^{1057328852944} is an apocalyptic number.

1057328852944 is a gapful number since it is divisible by the number (14) 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 1057328852944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314915840000).

1057328852944 is an abundant number, since it is smaller than the sum of its proper divisors (1572502827056).

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

1057328852944 is a wasteful number, since it uses less digits than its factorization.

1057328852944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 1057328852944 in words is "one trillion, fifty-seven billion, three hundred twenty-eight million, eight hundred fifty-two thousand, nine hundred forty-four".