9056712218400 has 2160 divisors, whose sum is σ = 41146332278688. Its totient is φ = 1858719744000.

The previous prime is 9056712218399. The next prime is 9056712218423. The reversal of 9056712218400 is 48122176509.

9056712218400 is a `hidden beast` number, since 9 + 0 + 567 + 1 + 2 + 2 + 1 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 18445442155 + ... + 18445442645.

Almost surely, 2^{9056712218400} is an apocalyptic number.

9056712218400 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 9056712218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20573166139344).

9056712218400 is an abundant number, since it is smaller than the sum of its proper divisors (32089620060288).

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

9056712218400 is a wasteful number, since it uses less digits than its factorization.

9056712218400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 9056712218400 in words is "nine trillion, fifty-six billion, seven hundred twelve million, two hundred eighteen thousand, four hundred".