966688983000 has 384 divisors, whose sum is σ = 3544122254400. Its totient is φ = 236238336000.

The previous prime is 966688982983. The next prime is 966688983037. The reversal of 966688983000 is 389886669.

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 95 ways as a sum of consecutive naturals, for example, 16233280 + ... + 16292720.

Almost surely, 2^966688983000 is an apocalyptic number.

966688983000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966688983000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772061127200).

966688983000 is an abundant number, since it is smaller than the sum of its proper divisors (2577433271400).

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

966688983000 is a wasteful number, since it uses less digits than its factorization.

966688983000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59620 (or 59603 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 966688983000 in words is "nine hundred sixty-six billion, six hundred eighty-eight million, nine hundred eighty-three thousand".