1057485238656 has 1024 divisors, whose sum is σ = 3874435891200. Its totient is φ = 247110082560.

The previous prime is 1057485238603. The next prime is 1057485238709. The reversal of 1057485238656 is 6568325847501.

It is an interprime number because it is at equal distance from previous prime (1057485238603) and next prime (1057485238709).

It is a super-2 number, since 2×1057485238656² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057485238656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2881430985 + ... + 2881431351.

It is an arithmetic number, because the mean of its divisors is an integer number (3783628800).

Almost surely, 2^{1057485238656} is an apocalyptic number.

1057485238656 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 1057485238656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937217945600).

1057485238656 is an abundant number, since it is smaller than the sum of its proper divisors (2816950652544).

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

1057485238656 is a wasteful number, since it uses less digits than its factorization.

1057485238656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 60.

The spelling of 1057485238656 in words is "one trillion, fifty-seven billion, four hundred eighty-five million, two hundred thirty-eight thousand, six hundred fifty-six".