8572727560320 has 2304 divisors, whose sum is σ = 40226554368000. Its totient is φ = 1723360665600.

The previous prime is 8572727560291. The next prime is 8572727560321. The reversal of 8572727560320 is 230657272758.

8572727560320 is a `hidden beast` number, since 8 + 5 + 7 + 2 + 7 + 2 + 7 + 5 + 603 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8572727560321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2598582031 + ... + 2598585329.

It is an arithmetic number, because the mean of its divisors is an integer number (17459442000).

Almost surely, 2^{8572727560320} is an apocalyptic number.

8572727560320 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 8572727560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20113277184000).

8572727560320 is an abundant number, since it is smaller than the sum of its proper divisors (31653826807680).

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

8572727560320 is a wasteful number, since it uses less digits than its factorization.

8572727560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 8572727560320 in words is "eight trillion, five hundred seventy-two billion, seven hundred twenty-seven million, five hundred sixty thousand, three hundred twenty".