966981058560 has 1176 divisors, whose sum is σ = 3960897482304. Its totient is φ = 224227491840.

The previous prime is 966981058543. The next prime is 966981058591. The reversal of 966981058560 is 65850189669.

966981058560 is a `hidden beast` number, since 9 + 6 + 6 + 9 + 8 + 10 + 58 + 560 = 666.

It is a super-2 number, since 2×966981058560² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 42042654709 + ... + 42042654731.

It is an arithmetic number, because the mean of its divisors is an integer number (3368110104).

Almost surely, 2^966981058560 is an apocalyptic number.

966981058560 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 966981058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980448741152).

966981058560 is an abundant number, since it is smaller than the sum of its proper divisors (2993916423744).

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

966981058560 is an frugal number, since it uses more digits than its factorization.

966981058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 966981058560 in words is "nine hundred sixty-six billion, nine hundred eighty-one million, fifty-eight thousand, five hundred sixty".