1027883657697 has 16 divisors (see below), whose sum is σ = 1475997781440. Its totient is φ = 632517100992.

The previous prime is 1027883657693. The next prime is 1027883657747. The reversal of 1027883657697 is 7967563887201.

It is not a de Polignac number, because 1027883657697 - 2² = 1027883657693 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1027883657693) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 401038 + ... + 1488824.

It is an arithmetic number, because the mean of its divisors is an integer number (92249861340).

Almost surely, 2^{1027883657697} is an apocalyptic number.

It is an amenable number.

1027883657697 is a deficient number, since it is larger than the sum of its proper divisors (448114123743).

1027883657697 is a wasteful number, since it uses less digits than its factorization.

1027883657697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112032.

The product of its (nonzero) digits is 213373440, while the sum is 69.

The spelling of 1027883657697 in words is "one trillion, twenty-seven billion, eight hundred eighty-three million, six hundred fifty-seven thousand, six hundred ninety-seven".