11653789360 has 80 divisors (see below), whose sum is σ = 27928382112. Its totient is φ = 4519065600.

The previous prime is 11653789331. The next prime is 11653789361. The reversal of 11653789360 is 6398735611.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11653789361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824755 + ... + 838765.

Almost surely, 2^11653789360 is an apocalyptic number.

11653789360 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 11653789360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13964191056).

11653789360 is an abundant number, since it is smaller than the sum of its proper divisors (16274592752).

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

11653789360 is a wasteful number, since it uses less digits than its factorization.

11653789360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14342 (or 14336 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 11653789360 in words is "eleven billion, six hundred fifty-three million, seven hundred eighty-nine thousand, three hundred sixty".