11161369196640 has 768 divisors, whose sum is σ = 42813192764160. Its totient is φ = 2732963659776.

The previous prime is 11161369196633. The next prime is 11161369196647. The reversal of 11161369196640 is 4669196316111.

11161369196640 is a `hidden beast` number, since 1 + 1 + 1 + 613 + 6 + 9 + 19 + 6 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11161369196633) and next prime (11161369196647).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11161369196647) 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 127 ways as a sum of consecutive naturals, for example, 877942924 + ... + 877955636.

It is an arithmetic number, because the mean of its divisors is an integer number (55746344745).

Almost surely, 2^{11161369196640} is an apocalyptic number.

11161369196640 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 11161369196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21406596382080).

11161369196640 is an abundant number, since it is smaller than the sum of its proper divisors (31651823567520).

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

11161369196640 is a wasteful number, since it uses less digits than its factorization.

11161369196640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12955 (or 12929 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 11161369196640 in words is "eleven trillion, one hundred sixty-one billion, three hundred sixty-nine million, one hundred ninety-six thousand, six hundred forty".