960017688016 has 40 divisors (see below), whose sum is σ = 1872226879880. Its totient is φ = 476869165056.

The previous prime is 960017687989. The next prime is 960017688031. The reversal of 960017688016 is 610886710069.

It is a happy number.

960017688016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 559713459600 + 400304228416 = 748140^2 + 632696^2 .

It is a super-2 number, since 2×960017688016² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2051440 + ... + 2475568.

It is an arithmetic number, because the mean of its divisors is an integer number (46805671997).

Almost surely, 2^960017688016 is an apocalyptic number.

It is an amenable number.

960017688016 is a deficient number, since it is larger than the sum of its proper divisors (912209191864).

960017688016 is a wasteful number, since it uses less digits than its factorization.

960017688016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425063 (or 425057 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 960017688016 in words is "nine hundred sixty billion, seventeen million, six hundred eighty-eight thousand, sixteen".