11735714560 has 72 divisors (see below), whose sum is σ = 28252576800. Its totient is φ = 4670595072.

The previous prime is 11735714537. The next prime is 11735714579. The reversal of 11735714560 is 6541753711.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231684 + ... + 277756.

It is an arithmetic number, because the mean of its divisors is an integer number (392396900).

Almost surely, 2^11735714560 is an apocalyptic number.

11735714560 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 11735714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126288400).

11735714560 is an abundant number, since it is smaller than the sum of its proper divisors (16516862240).

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

11735714560 is an equidigital number, since it uses as much as digits as its factorization.

11735714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46293 (or 46279 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The spelling of 11735714560 in words is "eleven billion, seven hundred thirty-five million, seven hundred fourteen thousand, five hundred sixty".