9080991129600 has 1680 divisors, whose sum is σ = 38374465392648. Its totient is φ = 2102982082560.

The previous prime is 9080991129593. The next prime is 9080991129619. The reversal of 9080991129600 is 69211990809.

9080991129600 is a `hidden beast` number, since 9 + 0 + 8 + 0 + 9 + 9 + 1 + 1 + 29 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 373487210496 + 8707503919104 = 611136^2 + 2950848^2 .

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 119 ways as a sum of consecutive naturals, for example, 3666123562 + ... + 3666126038.

Almost surely, 2^{9080991129600} is an apocalyptic number.

9080991129600 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 9080991129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19187232696324).

9080991129600 is an abundant number, since it is smaller than the sum of its proper divisors (29293474263048).

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

9080991129600 is a wasteful number, since it uses less digits than its factorization.

9080991129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 9080991129600 in words is "nine trillion, eighty billion, nine hundred ninety-one million, one hundred twenty-nine thousand, six hundred".