960180480000 has 1920 divisors, whose sum is σ = 4196031840000. Its totient is φ = 219469824000.

The previous prime is 960180479987. The next prime is 960180480037. The reversal of 960180480000 is 84081069.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

960180480000 is a `hidden beast` number, since 9 + 601 + 8 + 0 + 48 + 0 + 0 + 0 + 0 = 666.

960180480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 12600 × 7560 × 10080.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 137168639997 + ... + 137168640003.

It is an arithmetic number, because the mean of its divisors is an integer number (2185433250).

Almost surely, 2^960180480000 is an apocalyptic number.

960180480000 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 960180480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098015920000).

960180480000 is an abundant number, since it is smaller than the sum of its proper divisors (3235851360000).

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

960180480000 is an frugal number, since it uses more digits than its factorization.

960180480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 960180480000 in words is "nine hundred sixty billion, one hundred eighty million, four hundred eighty thousand".