1057683499056 has 240 divisors, whose sum is σ = 3103265378304. Its totient is φ = 348720567552.

The previous prime is 1057683499049. The next prime is 1057683499063. The reversal of 1057683499056 is 6509943867501.

1057683499056 is a `hidden beast` number, since 1 + 0 + 576 + 8 + 3 + 4 + 9 + 9 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (1057683499049) and next prime (1057683499063).

It is a super-2 number, since 2×1057683499056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057683498984 and 1057683499002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171337186 + ... + 171343358.

Almost surely, 2^{1057683499056} is an apocalyptic number.

1057683499056 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 1057683499056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551632689152).

1057683499056 is an abundant number, since it is smaller than the sum of its proper divisors (2045581879248).

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

1057683499056 is a wasteful number, since it uses less digits than its factorization.

1057683499056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6670 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 1057683499056 in words is "one trillion, fifty-seven billion, six hundred eighty-three million, four hundred ninety-nine thousand, fifty-six".