9129804088320 has 528 divisors, whose sum is σ = 34232645865600. Its totient is φ = 2328754323456.

The previous prime is 9129804088303. The next prime is 9129804088351. The reversal of 9129804088320 is 238804089219.

9129804088320 is a `hidden beast` number, since 9 + 129 + 80 + 40 + 88 + 320 = 666.

It is a super-2 number, since 2×9129804088320² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28456156 + ... + 28775204.

Almost surely, 2^{9129804088320} is an apocalyptic number.

9129804088320 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 9129804088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116322932800).

9129804088320 is an abundant number, since it is smaller than the sum of its proper divisors (25102841777280).

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

9129804088320 is a wasteful number, since it uses less digits than its factorization.

9129804088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319112 (or 319082 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 9129804088320 in words is "nine trillion, one hundred twenty-nine billion, eight hundred four million, eighty-eight thousand, three hundred twenty".