11859591656640 has 1344 divisors, whose sum is σ = 49729344076800. Its totient is φ = 2337762705408.

The previous prime is 11859591656611. The next prime is 11859591656651. The reversal of 11859591656640 is 4665619595811.

11859591656640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1575184396 + ... + 1575191924.

Almost surely, 2^{11859591656640} is an apocalyptic number.

11859591656640 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 11859591656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24864672038400).

11859591656640 is an abundant number, since it is smaller than the sum of its proper divisors (37869752420160).

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

11859591656640 is a wasteful number, since it uses less digits than its factorization.

11859591656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674 (or 7651 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 66.

The spelling of 11859591656640 in words is "eleven trillion, eight hundred fifty-nine billion, five hundred ninety-one million, six hundred fifty-six thousand, six hundred forty".