11605630882560 has 576 divisors, whose sum is σ = 44950221582336. Its totient is φ = 2513284300800.

The previous prime is 11605630882553. The next prime is 11605630882577. The reversal of 11605630882560 is 6528803650611.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16681834 + ... + 17363606.

It is an arithmetic number, because the mean of its divisors is an integer number (78038579136).

Almost surely, 2^{11605630882560} is an apocalyptic number.

11605630882560 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 11605630882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22475110791168).

11605630882560 is an abundant number, since it is smaller than the sum of its proper divisors (33344590699776).

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

11605630882560 is a wasteful number, since it uses less digits than its factorization.

11605630882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681852 (or 681838 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 11605630882560 in words is "eleven trillion, six hundred five billion, six hundred thirty million, eight hundred eighty-two thousand, five hundred sixty".