8586072040000 has 1575 divisors, whose sum is σ = 28115388221613. Its totient is φ = 2599204608000.

The previous prime is 8586072039983. The next prime is 8586072040001. The reversal of 8586072040000 is 402706858.

The square root of 8586072040000 is 2930200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 8480722460224 + 105349579776 = 2912168^2 + 324576^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8586072040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 373307479989 + ... + 373307480011.

Almost surely, 2^{8586072040000} is an apocalyptic number.

8586072040000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8586072040000 is the 2930200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8586072040000

8586072040000 is an abundant number, since it is smaller than the sum of its proper divisors (19529316181613).

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

8586072040000 is an frugal number, since it uses more digits than its factorization.

8586072040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

Adding to 8586072040000 its reverse (402706858), we get a palindrome (8586474746858).

The spelling of 8586072040000 in words is "eight trillion, five hundred eighty-six billion, seventy-two million, forty thousand".