966552533304960 has 512 divisors, whose sum is σ = 3729549446438400. Its totient is φ = 207851528650752.

The previous prime is 966552533304931. The next prime is 966552533304973. The reversal of 966552533304960 is 69403335255669.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 966552533304891 and 966552533304900.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 600784506 + ... + 602391174.

It is an arithmetic number, because the mean of its divisors is an integer number (7284276262575).

Almost surely, 2^{966552533304960} 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 966552533304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864774723219200).

966552533304960 is an abundant number, since it is smaller than the sum of its proper divisors (2762996913133440).

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

966552533304960 is a wasteful number, since it uses less digits than its factorization.

966552533304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609348 (or 1609336 counting only the distinct ones).

The product of its (nonzero) digits is 472392000, while the sum is 66.

The spelling of 966552533304960 in words is "nine hundred sixty-six trillion, five hundred fifty-two billion, five hundred thirty-three million, three hundred four thousand, nine hundred sixty".