10066804584480 has 432 divisors, whose sum is σ = 41441686715520. Its totient is φ = 2300983469568.

The previous prime is 10066804584461. The next prime is 10066804584493. The reversal of 10066804584480 is 8448540866001.

It is a happy number.

10066804584480 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 6 + 80 + 4 + 5 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 736920 + ... + 4547159.

It is an arithmetic number, because the mean of its divisors is an integer number (95929830360).

Almost surely, 2^{10066804584480} is an apocalyptic number.

10066804584480 is a gapful number since it is divisible by the number (10) 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 10066804584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20720843357760).

10066804584480 is an abundant number, since it is smaller than the sum of its proper divisors (31374882131040).

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

10066804584480 is an equidigital number, since it uses as much as digits as its factorization.

10066804584480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284123 (or 5284096 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 10066804584480 in words is "ten trillion, sixty-six billion, eight hundred four million, five hundred eighty-four thousand, four hundred eighty".