1057260765768 has 64 divisors (see below), whose sum is σ = 2647787857920. Its totient is φ = 351802651200.

The previous prime is 1057260765719. The next prime is 1057260765773. The reversal of 1057260765768 is 8675670627501.

It is a super-2 number, since 2×1057260765768² (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35120403 + ... + 35150493.

It is an arithmetic number, because the mean of its divisors is an integer number (41371685280).

Almost surely, 2^{1057260765768} is an apocalyptic number.

It is an amenable number.

1057260765768 is an abundant number, since it is smaller than the sum of its proper divisors (1590527092152).

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

1057260765768 is a wasteful number, since it uses less digits than its factorization.

1057260765768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32618 (or 32614 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 60.

The spelling of 1057260765768 in words is "one trillion, fifty-seven billion, two hundred sixty million, seven hundred sixty-five thousand, seven hundred sixty-eight".