11110659840 has 648 divisors, whose sum is σ = 46437758640. Its totient is φ = 2539579392.

The previous prime is 11110659817. The next prime is 11110659851. The reversal of 11110659840 is 4895601111.

It is a happy number.

11110659840 is a `hidden beast` number, since 1 + 11 + 10 + 6 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11110659795 and 11110659804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1587237117 + ... + 1587237123.

Almost surely, 2^11110659840 is an apocalyptic number.

11110659840 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 11110659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23218879320).

11110659840 is an abundant number, since it is smaller than the sum of its proper divisors (35327098800).

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

11110659840 is an frugal number, since it uses more digits than its factorization.

11110659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

Multiplying 11110659840 by its product of nonzero digits (8640), we get a square (95996101017600 = 9797760²).

11110659840 divided by its product of nonzero digits (8640) gives a square (1285956 = 1134²).

The spelling of 11110659840 in words is "eleven billion, one hundred ten million, six hundred fifty-nine thousand, eight hundred forty".