9209222553600 has 1344 divisors, whose sum is σ = 35482039272000. Its totient is φ = 2367765872640.

The previous prime is 9209222553599. The next prime is 9209222553617. The reversal of 9209222553600 is 63552229029.

9209222553600 is a `hidden beast` number, since 9 + 2 + 0 + 92 + 2 + 2 + 553 + 6 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 12989030046 + ... + 12989030754.

Almost surely, 2^{9209222553600} is an apocalyptic number.

9209222553600 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 9209222553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17741019636000).

9209222553600 is an abundant number, since it is smaller than the sum of its proper divisors (26272816718400).

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

9209222553600 is an frugal number, since it uses more digits than its factorization.

9209222553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 9209222553600 in words is "nine trillion, two hundred nine billion, two hundred twenty-two million, five hundred fifty-three thousand, six hundred".