966561361920 has 3120 divisors, whose sum is σ = 4685782514688. Its totient is φ = 188024094720.

The previous prime is 966561361919. The next prime is 966561361921. The reversal of 966561361920 is 29163165669.

966561361920 is a `hidden beast` number, since 9 + 6 + 6 + 5 + 6 + 13 + 619 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (966561361919) and next prime (966561361921).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966561361921) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20565135337 + ... + 20565135383.

Almost surely, 2^966561361920 is an apocalyptic number.

966561361920 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 966561361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342891257344).

966561361920 is an abundant number, since it is smaller than the sum of its proper divisors (3719221152768).

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

966561361920 is a wasteful number, since it uses less digits than its factorization.

966561361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 966561361920 in words is "nine hundred sixty-six billion, five hundred sixty-one million, three hundred sixty-one thousand, nine hundred twenty".