960315956500 has 96 divisors (see below), whose sum is σ = 2120733931680. Its totient is φ = 379846656000.

The previous prime is 960315956489. The next prime is 960315956527. The reversal of 960315956500 is 5659513069.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 413621341956 + 546694614544 = 643134^2 + 739388^2 .

It is a congruent number.

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, 62508820 + ... + 62524180.

It is an arithmetic number, because the mean of its divisors is an integer number (22090978455).

Almost surely, 2^960315956500 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 960315956500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060366965840).

960315956500 is an abundant number, since it is smaller than the sum of its proper divisors (1160417975180).

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

960315956500 is a wasteful number, since it uses less digits than its factorization.

960315956500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16766 (or 16754 counting only the distinct ones).

The product of its (nonzero) digits is 1093500, while the sum is 49.

The spelling of 960315956500 in words is "nine hundred sixty billion, three hundred fifteen million, nine hundred fifty-six thousand, five hundred".