9009061752600 has 1536 divisors, whose sum is σ = 39025402214400. Its totient is φ = 1883051089920.

The previous prime is 9009061752599. The next prime is 9009061752623. The reversal of 9009061752600 is 62571609009.

It is a happy number.

9009061752600 is a `hidden beast` number, since 9 + 0 + 0 + 9 + 0 + 617 + 5 + 26 + 0 + 0 = 666.

9009061752600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 383 ways as a sum of consecutive naturals, for example, 4497783199 + ... + 4497785201.

It is an arithmetic number, because the mean of its divisors is an integer number (25407162900).

Almost surely, 2^{9009061752600} is an apocalyptic number.

9009061752600 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 9009061752600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19512701107200).

9009061752600 is an abundant number, since it is smaller than the sum of its proper divisors (30016340461800).

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

9009061752600 is a wasteful number, since it uses less digits than its factorization.

9009061752600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 9009061752600 in words is "nine trillion, nine billion, sixty-one million, seven hundred fifty-two thousand, six hundred".