8520640128000 has 3520 divisors, whose sum is σ = 42687320772096. Its totient is φ = 1632337920000.

The previous prime is 8520640127959. The next prime is 8520640128023. The reversal of 8520640128000 is 8210460258.

8520640128000 is a `hidden beast` number, since 8 + 5 + 2 + 0 + 640 + 1 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10378367590 + ... + 10378368410.

Almost surely, 2^{8520640128000} is an apocalyptic number.

8520640128000 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 8520640128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21343660386048).

8520640128000 is an abundant number, since it is smaller than the sum of its proper divisors (34166680644096).

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

8520640128000 is a wasteful number, since it uses less digits than its factorization.

8520640128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 8520640128000 its reverse (8210460258), we get a palindrome (8528850588258).

The spelling of 8520640128000 in words is "eight trillion, five hundred twenty billion, six hundred forty million, one hundred twenty-eight thousand".