1000968590800 has 60 divisors (see below), whose sum is σ = 2419580737120. Its totient is φ = 397931045760.

The previous prime is 1000968590767. The next prime is 1000968590837. The reversal of 1000968590800 is 80958690001.

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 11 ways as a sum of consecutive naturals, for example, 7610940 + ... + 7741339.

Almost surely, 2^{1000968590800} is an apocalyptic number.

1000968590800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000968590800 is an abundant number, since it is smaller than the sum of its proper divisors (1418612146320).

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

1000968590800 is a wasteful number, since it uses less digits than its factorization.

1000968590800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15352460 (or 15352449 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 1000968590800 in words is "one trillion, nine hundred sixty-eight million, five hundred ninety thousand, eight hundred".