11602256016 has 160 divisors (see below), whose sum is σ = 34482792960. Its totient is φ = 3329851392.

The previous prime is 11602255979. The next prime is 11602256051. The reversal of 11602256016 is 61065220611.

It is a super-2 number, since 2×11602256016² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1193865 + ... + 1203543.

It is an arithmetic number, because the mean of its divisors is an integer number (215517456).

Almost surely, 2^11602256016 is an apocalyptic number.

11602256016 is a gapful number since it is divisible by the number (16) 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 11602256016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241396480).

11602256016 is an abundant number, since it is smaller than the sum of its proper divisors (22880536944).

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

11602256016 is a wasteful number, since it uses less digits than its factorization.

11602256016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833 (or 9827 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 11602256016 its reverse (61065220611), we get a palindrome (72667476627).

The spelling of 11602256016 in words is "eleven billion, six hundred two million, two hundred fifty-six thousand, sixteen".