9090882616320 has 880 divisors, whose sum is σ = 34801148989728. Its totient is φ = 2261243658240.

The previous prime is 9090882616313. The next prime is 9090882616381. The reversal of 9090882616320 is 236162880909.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 796671415 + ... + 796682825.

Almost surely, 2^{9090882616320} is an apocalyptic number.

9090882616320 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 9090882616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400574494864).

9090882616320 is an abundant number, since it is smaller than the sum of its proper divisors (25710266373408).

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

9090882616320 is a wasteful number, since it uses less digits than its factorization.

9090882616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11578 (or 11551 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 9090882616320 in words is "nine trillion, ninety billion, eight hundred eighty-two million, six hundred sixteen thousand, three hundred twenty".