966979088152 has 192 divisors, whose sum is σ = 2359114632000. Its totient is φ = 363293736960.

The previous prime is 966979088143. The next prime is 966979088177. The reversal of 966979088152 is 251880979669.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 182549568 + ... + 182554864.

It is an arithmetic number, because the mean of its divisors is an integer number (12287055375).

Almost surely, 2^966979088152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966979088152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179557316000).

966979088152 is an abundant number, since it is smaller than the sum of its proper divisors (1392135543848).

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

966979088152 is a wasteful number, since it uses less digits than its factorization.

966979088152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290 (or 6275 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 70.

The spelling of 966979088152 in words is "nine hundred sixty-six billion, nine hundred seventy-nine million, eighty-eight thousand, one hundred fifty-two".