960052068864 has 320 divisors, whose sum is σ = 3418738329600. Its totient is φ = 259863220224.

The previous prime is 960052068839. The next prime is 960052068901. The reversal of 960052068864 is 468860250069.

It is a happy number.

960052068864 is a `hidden beast` number, since 9 + 600 + 5 + 20 + 6 + 8 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 960052068864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1577509 + ... + 2099675.

It is an arithmetic number, because the mean of its divisors is an integer number (10683557280).

Almost surely, 2^960052068864 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 960052068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709369164800).

960052068864 is an abundant number, since it is smaller than the sum of its proper divisors (2458686260736).

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

960052068864 is a wasteful number, since it uses less digits than its factorization.

960052068864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522220 (or 522198 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 960052068864 in words is "nine hundred sixty billion, fifty-two million, sixty-eight thousand, eight hundred sixty-four".