1057196026656 has 288 divisors, whose sum is σ = 3968726606208. Its totient is φ = 258443550720.

The previous prime is 1057196026633. The next prime is 1057196026661. The reversal of 1057196026656 is 6566206917501.

1057196026656 is a `hidden beast` number, since 1 + 0 + 571 + 9 + 6 + 0 + 2 + 6 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1057196026656² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1025155 + ... + 1779138.

It is an arithmetic number, because the mean of its divisors is an integer number (13780300716).

Almost surely, 2^{1057196026656} is an apocalyptic number.

1057196026656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1057196026656 is an abundant number, since it is smaller than the sum of its proper divisors (2911530579552).

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

1057196026656 is a wasteful number, since it uses less digits than its factorization.

1057196026656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804344 (or 2804333 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 1057196026656 in words is "one trillion, fifty-seven billion, one hundred ninety-six million, twenty-six thousand, six hundred fifty-six".