1007128815068 has 24 divisors (see below), whose sum is σ = 1763444390400. Its totient is φ = 503287647728.

The previous prime is 1007128814971. The next prime is 1007128815071. The reversal of 1007128815068 is 8605188217001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84350243 + ... + 84362181.

It is an arithmetic number, because the mean of its divisors is an integer number (73476849600).

Almost surely, 2^{1007128815068} is an apocalyptic number.

It is an amenable number.

1007128815068 is a deficient number, since it is larger than the sum of its proper divisors (756315575332).

1007128815068 is a wasteful number, since it uses less digits than its factorization.

1007128815068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21769 (or 21767 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 47.

The spelling of 1007128815068 in words is "one trillion, seven billion, one hundred twenty-eight million, eight hundred fifteen thousand, sixty-eight".