966417050880 has 216 divisors, whose sum is σ = 3344524478568. Its totient is φ = 257647853568.

The previous prime is 966417050857. The next prime is 966417050939. The reversal of 966417050880 is 88050714669.

966417050880 is a `hidden beast` number, since 9 + 6 + 64 + 1 + 70 + 508 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95614534656 + 870802516224 = 309216^2 + 933168^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64193434 + ... + 64208486.

It is an arithmetic number, because the mean of its divisors is an integer number (15483909623).

Almost surely, 2^966417050880 is an apocalyptic number.

966417050880 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 966417050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672262239284).

966417050880 is an abundant number, since it is smaller than the sum of its proper divisors (2378107427688).

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

966417050880 is a wasteful number, since it uses less digits than its factorization.

966417050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20653 (or 20636 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 966417050880 in words is "nine hundred sixty-six billion, four hundred seventeen million, fifty thousand, eight hundred eighty".