9217899725760 has 672 divisors, whose sum is σ = 35688714227712. Its totient is φ = 2164515471360.

The previous prime is 9217899725753. The next prime is 9217899725773. The reversal of 9217899725760 is 675279987129.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 144397209 + ... + 144461031.

It is an arithmetic number, because the mean of its divisors is an integer number (53108205696).

Almost surely, 2^{9217899725760} is an apocalyptic number.

9217899725760 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 9217899725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17844357113856).

9217899725760 is an abundant number, since it is smaller than the sum of its proper divisors (26470814501952).

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

9217899725760 is a wasteful number, since it uses less digits than its factorization.

9217899725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64001 (or 63988 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 9217899725760 in words is "nine trillion, two hundred seventeen billion, eight hundred ninety-nine million, seven hundred twenty-five thousand, seven hundred sixty".