960552481962528 has 384 divisors, whose sum is σ = 3448217209651200. Its totient is φ = 253326638232576.

The previous prime is 960552481962511. The next prime is 960552481962547. The reversal of 960552481962528 is 825269184255069.

960552481962528 is a `hidden beast` number, since 9 + 6 + 0 + 5 + 5 + 2 + 4 + 8 + 1 + 96 + 2 + 528 = 666.

960552481962528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×960552481962528² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4160588025 + ... + 4160818887.

It is an arithmetic number, because the mean of its divisors is an integer number (8979732316800).

Almost surely, 2^{960552481962528} 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 960552481962528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724108604825600).

960552481962528 is an abundant number, since it is smaller than the sum of its proper divisors (2487664727688672).

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

960552481962528 is a wasteful number, since it uses less digits than its factorization.

960552481962528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283821 (or 283807 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 72.

The spelling of 960552481962528 in words is "nine hundred sixty trillion, five hundred fifty-two billion, four hundred eighty-one million, nine hundred sixty-two thousand, five hundred twenty-eight".