966060065880 has 1280 divisors, whose sum is σ = 4268372613120. Its totient is φ = 190374395904.

The previous prime is 966060065879. The next prime is 966060065881. The reversal of 966060065880 is 88560060669.

It is an interprime number because it is at equal distance from previous prime (966060065879) and next prime (966060065881).

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 (966060065881) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 291595104 + ... + 291598416.

It is an arithmetic number, because the mean of its divisors is an integer number (3334666104).

Almost surely, 2^966060065880 is an apocalyptic number.

966060065880 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 966060065880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134186306560).

966060065880 is an abundant number, since it is smaller than the sum of its proper divisors (3302312547240).

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

966060065880 is a wasteful number, since it uses less digits than its factorization.

966060065880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 966060065880 in words is "nine hundred sixty-six billion, sixty million, sixty-five thousand, eight hundred eighty".