9591201821340 has 864 divisors, whose sum is σ = 32763599668800. Its totient is φ = 2263226572800.

The previous prime is 9591201821317. The next prime is 9591201821347. The reversal of 9591201821340 is 431281021959.

9591201821340 is a `hidden beast` number, since 9 + 5 + 9 + 120 + 182 + 1 + 340 = 666.

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 (9591201821347) 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 287 ways as a sum of consecutive naturals, for example, 14687904454 + ... + 14687905106.

It is an arithmetic number, because the mean of its divisors is an integer number (37920832950).

Almost surely, 2^{9591201821340} is an apocalyptic number.

9591201821340 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 9591201821340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16381799834400).

9591201821340 is an abundant number, since it is smaller than the sum of its proper divisors (23172397847460).

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

9591201821340 is a wasteful number, since it uses less digits than its factorization.

9591201821340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 9591201821340 in words is "nine trillion, five hundred ninety-one billion, two hundred one million, eight hundred twenty-one thousand, three hundred forty".