9228020256000 has 4320 divisors, whose sum is σ = 45074905843968. Its totient is φ = 1862358220800.

The previous prime is 9228020255983. The next prime is 9228020256011. The reversal of 9228020256000 is 6520208229.

9228020256000 is a `hidden beast` number, since 9 + 2 + 2 + 8 + 0 + 20 + 25 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 401218271989 + ... + 401218272011.

Almost surely, 2^{9228020256000} is an apocalyptic number.

9228020256000 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 9228020256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537452921984).

9228020256000 is an abundant number, since it is smaller than the sum of its proper divisors (35846885587968).

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

9228020256000 is an frugal number, since it uses more digits than its factorization.

9228020256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 9228020256000 in words is "nine trillion, two hundred twenty-eight billion, twenty million, two hundred fifty-six thousand".