9225810316800 has 2160 divisors, whose sum is σ = 43458350487552. Its totient is φ = 1916703129600.

The previous prime is 9225810316753. The next prime is 9225810316883. The reversal of 9225810316800 is 86130185229.

9225810316800 is a `hidden beast` number, since 9 + 2 + 2 + 581 + 0 + 3 + 1 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1676502849 + ... + 1676508351.

Almost surely, 2^{9225810316800} is an apocalyptic number.

9225810316800 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 9225810316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21729175243776).

9225810316800 is an abundant number, since it is smaller than the sum of its proper divisors (34232540170752).

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

9225810316800 is a wasteful number, since it uses less digits than its factorization.

9225810316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 9225810316800 in words is "nine trillion, two hundred twenty-five billion, eight hundred ten million, three hundred sixteen thousand, eight hundred".