10009090809000 has 1024 divisors, whose sum is σ = 35878530355200. Its totient is φ = 2580387840000.

The previous prime is 10009090808921. The next prime is 10009090809017. The reversal of 10009090809000 is 90809090001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27272726817 + ... + 27272727183.

It is an arithmetic number, because the mean of its divisors is an integer number (35037627300).

Almost surely, 2^{10009090809000} is an apocalyptic number.

10009090809000 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 10009090809000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17939265177600).

10009090809000 is an abundant number, since it is smaller than the sum of its proper divisors (25869439546200).

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

10009090809000 is a wasteful number, since it uses less digits than its factorization.

10009090809000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

Adding to 10009090809000 its reverse (90809090001), we get a palindrome (10099899899001).

The spelling of 10009090809000 in words is "ten trillion, nine billion, ninety million, eight hundred nine thousand".