960008544000 has 1152 divisors, whose sum is σ = 3914833628160. Its totient is φ = 229736448000.

The previous prime is 960008543983. The next prime is 960008544067. The reversal of 960008544000 is 445800069.

960008544000 is a `hidden beast` number, since 9 + 600 + 0 + 8 + 5 + 4 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 788831392 + ... + 788832608.

It is an arithmetic number, because the mean of its divisors is an integer number (3398293080).

Almost surely, 2^960008544000 is an apocalyptic number.

960008544000 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 960008544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957416814080).

960008544000 is an abundant number, since it is smaller than the sum of its proper divisors (2954825084160).

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

960008544000 is a wasteful number, since it uses less digits than its factorization.

960008544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 960008544000 in words is "nine hundred sixty billion, eight million, five hundred forty-four thousand".