11610560640 has 256 divisors, whose sum is σ = 43755552000. Its totient is φ = 2562244608.

The previous prime is 11610560629. The next prime is 11610560681. The reversal of 11610560640 is 4606501611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11610560598 and 11610560607.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 374866 + ... + 404654.

It is an arithmetic number, because the mean of its divisors is an integer number (170920125).

Almost surely, 2^11610560640 is an apocalyptic number.

11610560640 is a gapful number since it is divisible by the number (10) 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 11610560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877776000).

11610560640 is an abundant number, since it is smaller than the sum of its proper divisors (32144991360).

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

11610560640 is a wasteful number, since it uses less digits than its factorization.

11610560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29847 (or 29835 counting only the distinct ones).

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

The spelling of 11610560640 in words is "eleven billion, six hundred ten million, five hundred sixty thousand, six hundred forty".