9220836556800 has 2268 divisors, whose sum is σ = 40465870721640. Its totient is φ = 1993133260800.

The previous prime is 9220836556787. The next prime is 9220836556829. The reversal of 9220836556800 is 86556380229.

9220836556800 is a `hidden beast` number, since 9 + 2 + 2 + 0 + 8 + 3 + 6 + 556 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 485307187191 + ... + 485307187209.

Almost surely, 2^{9220836556800} is an apocalyptic number.

9220836556800 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 9220836556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20232935360820).

9220836556800 is an abundant number, since it is smaller than the sum of its proper divisors (31245034164840).

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

9220836556800 is a wasteful number, since it uses less digits than its factorization.

9220836556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 9220836556800 in words is "nine trillion, two hundred twenty billion, eight hundred thirty-six million, five hundred fifty-six thousand, eight hundred".