11491509680640 has 960 divisors, whose sum is σ = 46529334289152. Its totient is φ = 2592630374400.

The previous prime is 11491509680627. The next prime is 11491509680641. The reversal of 11491509680640 is 4608690519411.

11491509680640 is a `hidden beast` number, since 1 + 1 + 4 + 91 + 509 + 6 + 8 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (11491509680641) 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 95 ways as a sum of consecutive naturals, for example, 215650800 + ... + 215704080.

Almost surely, 2^{11491509680640} is an apocalyptic number.

11491509680640 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 11491509680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23264667144576).

11491509680640 is an abundant number, since it is smaller than the sum of its proper divisors (35037824608512).

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

11491509680640 is a wasteful number, since it uses less digits than its factorization.

11491509680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53381 (or 53362 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 11491509680640 in words is "eleven trillion, four hundred ninety-one billion, five hundred nine million, six hundred eighty thousand, six hundred forty".