11650738680 has 640 divisors, whose sum is σ = 47036436480. Its totient is φ = 2530621440.

The previous prime is 11650738663. The next prime is 11650738709. The reversal of 11650738680 is 8683705611.

11650738680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51324727 + ... + 51324953.

It is an arithmetic number, because the mean of its divisors is an integer number (73494432).

Almost surely, 2^11650738680 is an apocalyptic number.

11650738680 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 11650738680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23518218240).

11650738680 is an abundant number, since it is smaller than the sum of its proper divisors (35385697800).

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

11650738680 is a wasteful number, since it uses less digits than its factorization.

11650738680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11650738680 in words is "eleven billion, six hundred fifty million, seven hundred thirty-eight thousand, six hundred eighty".