9189901564800 has 768 divisors, whose sum is σ = 34872588011520. Its totient is φ = 2105270886400.

The previous prime is 9189901564799. The next prime is 9189901564819. The reversal of 9189901564800 is 84651099819.

It is a super-3 number, since 3×9189901564800³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 201567607 + ... + 201613193.

It is an arithmetic number, because the mean of its divisors is an integer number (45407015640).

Almost surely, 2^{9189901564800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9189901564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436294005760).

9189901564800 is an abundant number, since it is smaller than the sum of its proper divisors (25682686446720).

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

9189901564800 is a wasteful number, since it uses less digits than its factorization.

9189901564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45731 (or 45714 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 60.

The spelling of 9189901564800 in words is "nine trillion, one hundred eighty-nine billion, nine hundred one million, five hundred sixty-four thousand, eight hundred".