11649759840 has 144 divisors (see below), whose sum is σ = 39883360608. Its totient is φ = 3096557568.

The previous prime is 11649759829. The next prime is 11649759859. The reversal of 11649759840 is 4895794611.

11649759840 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 9 + 7 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437797 + ... + 463643.

It is an arithmetic number, because the mean of its divisors is an integer number (276967782).

Almost surely, 2^11649759840 is an apocalyptic number.

11649759840 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 11649759840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19941680304).

11649759840 is an abundant number, since it is smaller than the sum of its proper divisors (28233600768).

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

11649759840 is a wasteful number, since it uses less digits than its factorization.

11649759840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26181 (or 26170 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 11649759840 in words is "eleven billion, six hundred forty-nine million, seven hundred fifty-nine thousand, eight hundred forty".