11653144640 has 112 divisors (see below), whose sum is σ = 28788238080. Its totient is φ = 4489605120.

The previous prime is 11653144637. The next prime is 11653144651. The reversal of 11653144640 is 4644135611.

It is a self number, because there is not a number n which added to its sum of digits gives 11653144640.

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 15 ways as a sum of consecutive naturals, for example, 1030859 + ... + 1042101.

It is an arithmetic number, because the mean of its divisors is an integer number (257037840).

Almost surely, 2^11653144640 is an apocalyptic number.

11653144640 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 11653144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394119040).

11653144640 is an abundant number, since it is smaller than the sum of its proper divisors (17135093440).

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

11653144640 is a wasteful number, since it uses less digits than its factorization.

11653144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11380 (or 11370 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 11653144640 in words is "eleven billion, six hundred fifty-three million, one hundred forty-four thousand, six hundred forty".