9209225712960 has 672 divisors, whose sum is σ = 39216595541760. Its totient is φ = 1943036080128.

The previous prime is 9209225712943. The next prime is 9209225712961. The reversal of 9209225712960 is 692175229029.

9209225712960 is a `hidden beast` number, since 9 + 2 + 0 + 9 + 2 + 2 + 571 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 9209225712897 and 9209225712906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9209225712961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44187559 + ... + 44395481.

It is an arithmetic number, because the mean of its divisors is an integer number (58358029080).

Almost surely, 2^{9209225712960} is an apocalyptic number.

9209225712960 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 9209225712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19608297770880).

9209225712960 is an abundant number, since it is smaller than the sum of its proper divisors (30007369828800).

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

9209225712960 is a wasteful number, since it uses less digits than its factorization.

9209225712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207992 (or 207953 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 9209225712960 in words is "nine trillion, two hundred nine billion, two hundred twenty-five million, seven hundred twelve thousand, nine hundred sixty".