1012853875968 has 108 divisors (see below), whose sum is σ = 3185789993568. Its totient is φ = 306925409280.

The previous prime is 1012853875871. The next prime is 1012853876011. The reversal of 1012853875968 is 8695783582101.

1012853875968 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 8 + 5 + 38 + 7 + 596 + 8 = 666.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 19956780 + ... + 20007467.

It is an arithmetic number, because the mean of its divisors is an integer number (29498055496).

Almost surely, 2^{1012853875968} is an apocalyptic number.

1012853875968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1012853875968 is an abundant number, since it is smaller than the sum of its proper divisors (2172936117600).

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

1012853875968 is a wasteful number, since it uses less digits than its factorization.

1012853875968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39964280 (or 39964263 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 1012853875968 in words is "one trillion, twelve billion, eight hundred fifty-three million, eight hundred seventy-five thousand, nine hundred sixty-eight".