9025580844000 has 576 divisors, whose sum is σ = 37963627333632. Its totient is φ = 2062988352000.

The previous prime is 9025580843977. The next prime is 9025580844001. The reversal of 9025580844000 is 4480855209.

9025580844000 is a `hidden beast` number, since 9 + 0 + 25 + 580 + 8 + 4 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×9025580844000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9025580844001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6140745 + ... + 7467255.

It is an arithmetic number, because the mean of its divisors is an integer number (65909075232).

Almost surely, 2^{9025580844000} is an apocalyptic number.

9025580844000 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 9025580844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18981813666816).

9025580844000 is an abundant number, since it is smaller than the sum of its proper divisors (28938046489632).

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

9025580844000 is a wasteful number, since it uses less digits than its factorization.

9025580844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326558 (or 1326528 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 9025580844000 in words is "nine trillion, twenty-five billion, five hundred eighty million, eight hundred forty-four thousand".