9049825072800 has 576 divisors, whose sum is σ = 33770169820800. Its totient is φ = 2337455923200.

The previous prime is 9049825072793. The next prime is 9049825072859. The reversal of 9049825072800 is 82705289409.

9049825072800 is a `hidden beast` number, since 9 + 0 + 498 + 2 + 5 + 0 + 72 + 80 + 0 = 666.

It is a super-3 number, since 3×9049825072800³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123061642 + ... + 123135158.

It is an arithmetic number, because the mean of its divisors is an integer number (58628767050).

Almost surely, 2^{9049825072800} is an apocalyptic number.

9049825072800 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 9049825072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16885084910400).

9049825072800 is an abundant number, since it is smaller than the sum of its proper divisors (24720344748000).

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

9049825072800 is a wasteful number, since it uses less digits than its factorization.

9049825072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73726 (or 73707 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 9049825072800 in words is "nine trillion, forty-nine billion, eight hundred twenty-five million, seventy-two thousand, eight hundred".