8528164968960 has 3840 divisors, whose sum is σ = 41503093632000. Its totient is φ = 1598130487296.

The previous prime is 8528164968931. The next prime is 8528164968997. The reversal of 8528164968960 is 698694618258.

8528164968960 is a `hidden beast` number, since 8 + 52 + 8 + 1 + 6 + 496 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 33183521152 + ... + 33183521408.

It is an arithmetic number, because the mean of its divisors is an integer number (10808097300).

Almost surely, 2^{8528164968960} is an apocalyptic number.

8528164968960 is a gapful number since it is divisible by the number (80) 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 8528164968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20751546816000).

8528164968960 is an abundant number, since it is smaller than the sum of its proper divisors (32974928663040).

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

8528164968960 is a wasteful number, since it uses less digits than its factorization.

8528164968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 8528164968960 in words is "eight trillion, five hundred twenty-eight billion, one hundred sixty-four million, nine hundred sixty-eight thousand, nine hundred sixty".