1057861618576 has 135 divisors (see below), whose sum is σ = 2413472564979. Its totient is φ = 447876946944.

The previous prime is 1057861618537. The next prime is 1057861618579. The reversal of 1057861618576 is 6758161687501.

The square root of 1057861618576 is 1028524.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1439443600 + 1056422174976 = 37940^2 + 1027824^2 .

It is a super-2 number, since 2×1057861618576² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057861618579) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3139055080 + ... + 3139055416.

Almost surely, 2^{1057861618576} is an apocalyptic number.

1057861618576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1057861618576 is the 1028524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057861618576

1057861618576 is an abundant number, since it is smaller than the sum of its proper divisors (1355610946403).

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

1057861618576 is an frugal number, since it uses more digits than its factorization.

1057861618576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 61.

The spelling of 1057861618576 in words is "one trillion, fifty-seven billion, eight hundred sixty-one million, six hundred eighteen thousand, five hundred seventy-six".