9026751283200 has 2880 divisors, whose sum is σ = 42360338764800. Its totient is φ = 1839684648960.

The previous prime is 9026751283159. The next prime is 9026751283237. The reversal of 9026751283200 is 23821576209.

9026751283200 is a `hidden beast` number, since 90 + 26 + 7 + 512 + 8 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 475092172791 + ... + 475092172809.

It is an arithmetic number, because the mean of its divisors is an integer number (14708450960).

Almost surely, 2^{9026751283200} is an apocalyptic number.

9026751283200 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 9026751283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21180169382400).

9026751283200 is an abundant number, since it is smaller than the sum of its proper divisors (33333587481600).

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

9026751283200 is an equidigital number, since it uses as much as digits as its factorization.

9026751283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 9026751283200 in words is "nine trillion, twenty-six billion, seven hundred fifty-one million, two hundred eighty-three thousand, two hundred".