1057324242016 has 96 divisors (see below), whose sum is σ = 2520065846592. Its totient is φ = 426289643520.

The previous prime is 1057324242011. The next prime is 1057324242019. The reversal of 1057324242016 is 6102424237501.

It is a super-2 number, since 2×1057324242016² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057324242011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8456436 + ... + 8580556.

It is an arithmetic number, because the mean of its divisors is an integer number (26250685902).

Almost surely, 2^{1057324242016} is an apocalyptic number.

1057324242016 is a gapful number since it is divisible by the number (16) 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 1057324242016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260032923296).

1057324242016 is an abundant number, since it is smaller than the sum of its proper divisors (1462741604576).

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

1057324242016 is a wasteful number, since it uses less digits than its factorization.

1057324242016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126392 (or 126384 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

Adding to 1057324242016 its reverse (6102424237501), we get a palindrome (7159748479517).

The spelling of 1057324242016 in words is "one trillion, fifty-seven billion, three hundred twenty-four million, two hundred forty-two thousand, sixteen".