10006466890000 has 225 divisors, whose sum is σ = 28188267278787. Its totient is φ = 3430029456000.

The previous prime is 10006466889967. The next prime is 10006466890003. The reversal of 10006466890000 is 9866460001.

The square root of 10006466890000 is 3163300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 784507004176 + 9221959885824 = 885724^2 + 3036768^2 .

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 (10006466890003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2214307741 + ... + 2214312259.

Almost surely, 2^{10006466890000} is an apocalyptic number.

10006466890000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10006466890000 is the 3163300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006466890000

10006466890000 is an abundant number, since it is smaller than the sum of its proper divisors (18181800388787).

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

10006466890000 is an frugal number, since it uses more digits than its factorization.

10006466890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9080 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 10006466890000 in words is "ten trillion, six billion, four hundred sixty-six million, eight hundred ninety thousand".