4590528645960 has 640 divisors, whose sum is σ = 16913651040000. Its totient is φ = 1112241715200.

The previous prime is 4590528645947. The next prime is 4590528646001. The reversal of 4590528645960 is 695468250954.

It is a happy number.

4590528645960 is a `hidden beast` number, since 4 + 5 + 9 + 0 + 528 + 6 + 45 + 9 + 60 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 269562726 + ... + 269579754.

It is an arithmetic number, because the mean of its divisors is an integer number (26427579750).

Almost surely, 2^{4590528645960} is an apocalyptic number.

4590528645960 is a gapful number since it is divisible by the number (40) 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 4590528645960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8456825520000).

4590528645960 is an abundant number, since it is smaller than the sum of its proper divisors (12323122394040).

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

4590528645960 is a wasteful number, since it uses less digits than its factorization.

4590528645960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17251 (or 17238 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 4590528645960 in words is "four trillion, five hundred ninety billion, five hundred twenty-eight million, six hundred forty-five thousand, nine hundred sixty".