11691726520320 has 2400 divisors, whose sum is σ = 53439254668800. Its totient is φ = 2424247418880.

The previous prime is 11691726520283. The next prime is 11691726520333. The reversal of 11691726520320 is 2302562719611.

11691726520320 is a `hidden beast` number, since 1 + 1 + 6 + 91 + 7 + 2 + 6 + 520 + 32 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25035816727 + ... + 25035817193.

It is an arithmetic number, because the mean of its divisors is an integer number (22266356112).

Almost surely, 2^{11691726520320} is an apocalyptic number.

11691726520320 is a gapful number since it is divisible by the number (10) 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 11691726520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26719627334400).

11691726520320 is an abundant number, since it is smaller than the sum of its proper divisors (41747528148480).

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

11691726520320 is an frugal number, since it uses more digits than its factorization.

11691726520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11691726520320 in words is "eleven trillion, six hundred ninety-one billion, seven hundred twenty-six million, five hundred twenty thousand, three hundred twenty".