11655537072 has 80 divisors (see below), whose sum is σ = 31163026272. Its totient is φ = 3751280640.

The previous prime is 11655537007. The next prime is 11655537073. The reversal of 11655537072 is 27073555611.

11655537072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11655537073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160368 + ... + 221424.

Almost surely, 2^11655537072 is an apocalyptic number.

11655537072 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 11655537072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15581513136).

11655537072 is an abundant number, since it is smaller than the sum of its proper divisors (19507489200).

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

11655537072 is a wasteful number, since it uses less digits than its factorization.

11655537072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61206 (or 61200 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 42.

The spelling of 11655537072 in words is "eleven billion, six hundred fifty-five million, five hundred thirty-seven thousand, seventy-two".