11650507132320 has 2304 divisors, whose sum is σ = 52221381488640. Its totient is φ = 2407897497600.

The previous prime is 11650507132283. The next prime is 11650507132339. The reversal of 11650507132320 is 2323170505611.

11650507132320 is a `hidden beast` number, since 1 + 16 + 5 + 0 + 507 + 132 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 20191519872 + ... + 20191520448.

It is an arithmetic number, because the mean of its divisors is an integer number (22665530160).

Almost surely, 2^{11650507132320} is an apocalyptic number.

11650507132320 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 11650507132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26110690744320).

11650507132320 is an abundant number, since it is smaller than the sum of its proper divisors (40570874356320).

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

11650507132320 is a wasteful number, since it uses less digits than its factorization.

11650507132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Adding to 11650507132320 its reverse (2323170505611), we get a palindrome (13973677637931).

The spelling of 11650507132320 in words is "eleven trillion, six hundred fifty billion, five hundred seven million, one hundred thirty-two thousand, three hundred twenty".