11621261568 has 144 divisors (see below), whose sum is σ = 35404500096. Its totient is φ = 3315056640.

The previous prime is 11621261563. The next prime is 11621261581. The reversal of 11621261568 is 86516212611.

It is not an unprimeable number, because it can be changed into a prime (11621261563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4412380 + ... + 4415012.

It is an arithmetic number, because the mean of its divisors is an integer number (245864584).

Almost surely, 2^11621261568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11621261568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17702250048).

11621261568 is an abundant number, since it is smaller than the sum of its proper divisors (23783238528).

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

11621261568 is an equidigital number, since it uses as much as digits as its factorization.

11621261568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3466 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The spelling of 11621261568 in words is "eleven billion, six hundred twenty-one million, two hundred sixty-one thousand, five hundred sixty-eight".