9090611712000 has 3744 divisors, whose sum is σ = 43479206709120. Its totient is φ = 1805923123200.

The previous prime is 9090611711999. The next prime is 9090611712011. The reversal of 9090611712000 is 2171160909.

It is a tau number, because it is divible by the number of its divisors (3744).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55770623919 + ... + 55770624081.

It is an arithmetic number, because the mean of its divisors is an integer number (11613035980).

Almost surely, 2^{9090611712000} is an apocalyptic number.

9090611712000 is a gapful number since it is divisible by the number (90) 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 9090611712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21739603354560).

9090611712000 is an abundant number, since it is smaller than the sum of its proper divisors (34388594997120).

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

9090611712000 is a wasteful number, since it uses less digits than its factorization.

9090611712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

Adding to 9090611712000 its reverse (2171160909), we get a palindrome (9092782872909).

The spelling of 9090611712000 in words is "nine trillion, ninety billion, six hundred eleven million, seven hundred twelve thousand".