1006255771104 has 96 divisors (see below), whose sum is σ = 2744686909440. Its totient is φ = 322448832000.

The previous prime is 1006255771019. The next prime is 1006255771117. The reversal of 1006255771104 is 4011775526001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 670239 + ... + 1568990.

It is an arithmetic number, because the mean of its divisors is an integer number (28590488640).

Almost surely, 2^{1006255771104} is an apocalyptic number.

It is an amenable number.

1006255771104 is an abundant number, since it is smaller than the sum of its proper divisors (1738431138336).

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

1006255771104 is a wasteful number, since it uses less digits than its factorization.

1006255771104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239424 (or 2239416 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 1006255771104 in words is "one trillion, six billion, two hundred fifty-five million, seven hundred seventy-one thousand, one hundred four".