960965280000 has 2160 divisors, whose sum is σ = 4143905525760. Its totient is φ = 211507200000.

The previous prime is 960965279999. The next prime is 960965280007. The reversal of 960965280000 is 82569069.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960965280007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9329759949 + ... + 9329760051.

Almost surely, 2^960965280000 is an apocalyptic number.

960965280000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960965280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071952762880).

960965280000 is an abundant number, since it is smaller than the sum of its proper divisors (3182940245760).

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

960965280000 is a wasteful number, since it uses less digits than its factorization.

960965280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 960965280000 in words is "nine hundred sixty billion, nine hundred sixty-five million, two hundred eighty thousand".