9057220300800 has 936 divisors, whose sum is σ = 38272273195520. Its totient is φ = 2003396198400.

The previous prime is 9057220300787. The next prime is 9057220300829. The reversal of 9057220300800 is 80030227509.

It is a happy number.

9057220300800 is a `hidden beast` number, since 9 + 0 + 57 + 220 + 300 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 199964556 + ... + 200009844.

Almost surely, 2^{9057220300800} is an apocalyptic number.

9057220300800 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 9057220300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19136136597760).

9057220300800 is an abundant number, since it is smaller than the sum of its proper divisors (29215052894720).

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

9057220300800 is a wasteful number, since it uses less digits than its factorization.

9057220300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45367 (or 45337 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 9057220300800 in words is "nine trillion, fifty-seven billion, two hundred twenty million, three hundred thousand, eight hundred".