1057056000000 has 2016 divisors, whose sum is σ = 4765495250880. Its totient is φ = 202752000000.

The previous prime is 1057055999999. The next prime is 1057056000031. The reversal of 1057056000000 is 6507501.

It is a super-2 number, since 2×1057056000000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 81311999994 + ... + 81312000006.

It is an arithmetic number, because the mean of its divisors is an integer number (2363836930).

Almost surely, 2^{1057056000000} is an apocalyptic number.

1057056000000 is a gapful number since it is divisible by the number (10) 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 1057056000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382747625440).

1057056000000 is an abundant number, since it is smaller than the sum of its proper divisors (3708439250880).

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

1057056000000 is an frugal number, since it uses more digits than its factorization.

1057056000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The spelling of 1057056000000 in words is "one trillion, fifty-seven billion, fifty-six million", and thus it is an aban number and an uban number.