11561602272 has 288 divisors, whose sum is σ = 34895250432. Its totient is φ = 3345408000.

The previous prime is 11561602271. The next prime is 11561602291. The reversal of 11561602272 is 27220616511.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11561602271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34929147 + ... + 34929477.

It is an arithmetic number, because the mean of its divisors is an integer number (121164064).

Almost surely, 2^11561602272 is an apocalyptic number.

11561602272 is a gapful number since it is divisible by the number (12) 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 11561602272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447625216).

11561602272 is an abundant number, since it is smaller than the sum of its proper divisors (23333648160).

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

11561602272 is a wasteful number, since it uses less digits than its factorization.

11561602272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 11561602272 in words is "eleven billion, five hundred sixty-one million, six hundred two thousand, two hundred seventy-two".