966024755080 has 192 divisors, whose sum is σ = 2767282056000. Its totient is φ = 300115791360.

The previous prime is 966024755057. The next prime is 966024755089. The reversal of 966024755080 is 80557420669.

It is not an unprimeable number, because it can be changed into a prime (966024755089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6545946 + ... + 6691894.

It is an arithmetic number, because the mean of its divisors is an integer number (14412927375).

Almost surely, 2^966024755080 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 966024755080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383641028000).

966024755080 is an abundant number, since it is smaller than the sum of its proper divisors (1801257300920).

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

966024755080 is a wasteful number, since it uses less digits than its factorization.

966024755080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146292 (or 146281 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 966024755080 in words is "nine hundred sixty-six billion, twenty-four million, seven hundred fifty-five thousand, eighty".