11803714560 has 792 divisors, whose sum is σ = 47142983160. Its totient is φ = 2724986880.

The previous prime is 11803714541. The next prime is 11803714577. The reversal of 11803714560 is 6541730811.

11803714560 is a `hidden beast` number, since 1 + 1 + 80 + 3 + 7 + 14 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1526621184 + 10277093376 = 39072^2 + 101376^2 .

It is a tau number, because it is divible by the number of its divisors (792).

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

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, 161694684 + ... + 161694756.

Almost surely, 2^11803714560 is an apocalyptic number.

11803714560 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 11803714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23571491580).

11803714560 is an abundant number, since it is smaller than the sum of its proper divisors (35339268600).

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

11803714560 is a wasteful number, since it uses less digits than its factorization.

11803714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11803714560 in words is "eleven billion, eight hundred three million, seven hundred fourteen thousand, five hundred sixty".