11301151680 has 1008 divisors, whose sum is σ = 50120239104. Its totient is φ = 2285936640.

The previous prime is 11301151679. The next prime is 11301151717. The reversal of 11301151680 is 8615110311.

It is a happy number.

11301151680 is a `hidden beast` number, since 1 + 130 + 11 + 516 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105618187 + ... + 105618293.

Almost surely, 2^11301151680 is an apocalyptic number.

11301151680 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 11301151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25060119552).

11301151680 is an abundant number, since it is smaller than the sum of its proper divisors (38819087424).

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

11301151680 is a wasteful number, since it uses less digits than its factorization.

11301151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

Adding to 11301151680 its reverse (8615110311), we get a palindrome (19916261991).

The spelling of 11301151680 in words is "eleven billion, three hundred one million, one hundred fifty-one thousand, six hundred eighty".