9121536000 has 576 divisors, whose sum is σ = 34082324640. Its totient is φ = 2344550400.

The previous prime is 9121535981. The next prime is 9121536001. The reversal of 9121536000 is 6351219.

9121536000 is a `hidden beast` number, since 9 + 1 + 2 + 1 + 53 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9121536001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85247947 + ... + 85248053.

Almost surely, 2^9121536000 is an apocalyptic number.

9121536000 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 9121536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17041162320).

9121536000 is an abundant number, since it is smaller than the sum of its proper divisors (24960788640).

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

9121536000 is a wasteful number, since it uses less digits than its factorization.

9121536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9121536000 is about 95506.7327469640. The cubic root of 9121536000 is about 2089.4051404136.

Adding to 9121536000 its reverse (6351219), we get a palindrome (9127887219).

The spelling of 9121536000 in words is "nine billion, one hundred twenty-one million, five hundred thirty-six thousand".