8585690480640 has 2560 divisors, whose sum is σ = 39685459968000. Its totient is φ = 1712282664960.

The previous prime is 8585690480569. The next prime is 8585690480641. The reversal of 8585690480640 is 460840965858.

8585690480640 is a `hidden beast` number, since 8 + 5 + 8 + 5 + 6 + 90 + 480 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8585690480641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199667220459 + ... + 199667220501.

It is an arithmetic number, because the mean of its divisors is an integer number (15502132800).

Almost surely, 2^{8585690480640} is an apocalyptic number.

8585690480640 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 8585690480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842729984000).

8585690480640 is an abundant number, since it is smaller than the sum of its proper divisors (31099769487360).

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

8585690480640 is an equidigital number, since it uses as much as digits as its factorization.

8585690480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 8585690480640 in words is "eight trillion, five hundred eighty-five billion, six hundred ninety million, four hundred eighty thousand, six hundred forty".