966371887800 has 384 divisors, whose sum is σ = 3657751603200. Its totient is φ = 232560000000.

The previous prime is 966371887783. The next prime is 966371887807. The reversal of 966371887800 is 8788173669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966371887807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8078425 + ... + 8197175.

It is an arithmetic number, because the mean of its divisors is an integer number (9525394800).

Almost surely, 2^966371887800 is an apocalyptic number.

966371887800 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 966371887800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828875801600).

966371887800 is an abundant number, since it is smaller than the sum of its proper divisors (2691379715400).

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

966371887800 is a wasteful number, since it uses less digits than its factorization.

966371887800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118924 (or 118909 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 966371887800 in words is "nine hundred sixty-six billion, three hundred seventy-one million, eight hundred eighty-seven thousand, eight hundred".