11606501416620 has 192 divisors, whose sum is σ = 36692991498240. Its totient is φ = 2715347174400.

The previous prime is 11606501416613. The next prime is 11606501416637. The reversal of 11606501416620 is 2661410560611.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39338850 + ... + 39632790.

It is an arithmetic number, because the mean of its divisors is an integer number (191109330720).

Almost surely, 2^{11606501416620} is an apocalyptic number.

11606501416620 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 11606501416620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18346495749120).

11606501416620 is an abundant number, since it is smaller than the sum of its proper divisors (25086490081620).

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

11606501416620 is a wasteful number, since it uses less digits than its factorization.

11606501416620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296056 (or 296054 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 11606501416620 in words is "eleven trillion, six hundred six billion, five hundred one million, four hundred sixteen thousand, six hundred twenty".