11506961088 has 560 divisors, whose sum is σ = 43123981824. Its totient is φ = 2956124160.

The previous prime is 11506961077. The next prime is 11506961119. The reversal of 11506961088 is 88016960511.

11506961088 is a `hidden beast` number, since 1 + 1 + 506 + 9 + 61 + 0 + 88 = 666.

11506961088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11506961088² (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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14188203 + ... + 14189013.

Almost surely, 2^11506961088 is an apocalyptic number.

11506961088 is a gapful number since it is divisible by the number (18) 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 11506961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561990912).

11506961088 is an abundant number, since it is smaller than the sum of its proper divisors (31617020736).

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

11506961088 is a wasteful number, since it uses less digits than its factorization.

11506961088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 11506961088 in words is "eleven billion, five hundred six million, nine hundred sixty-one thousand, eighty-eight".