9120556800 has 432 divisors, whose sum is σ = 34186145280. Its totient is φ = 2378280960.

The previous prime is 9120556799. The next prime is 9120556807. The reversal of 9120556800 is 86550219.

It is a happy number.

9120556800 is a `hidden beast` number, since 9 + 1 + 20 + 556 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9120556807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8121039 + ... + 8122161.

Almost surely, 2^9120556800 is an apocalyptic number.

9120556800 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 9120556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093072640).

9120556800 is an abundant number, since it is smaller than the sum of its proper divisors (25065588480).

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

9120556800 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 9120556800 = (1926558000)₁₂.

9120556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 9120556800 is about 95501.6062692141. The cubic root of 9120556800 is about 2089.3303716199.

The spelling of 9120556800 in words is "nine billion, one hundred twenty million, five hundred fifty-six thousand, eight hundred".