11855698019256 has 512 divisors, whose sum is σ = 38621115187200. Its totient is φ = 2947371356160.

The previous prime is 11855698019251. The next prime is 11855698019309. The reversal of 11855698019256 is 65291089655811.

11855698019256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11855698019251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1390367265 + ... + 1390375791.

It is an arithmetic number, because the mean of its divisors is an integer number (75431865600).

Almost surely, 2^{11855698019256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11855698019256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19310557593600).

11855698019256 is an abundant number, since it is smaller than the sum of its proper divisors (26765417167944).

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

11855698019256 is a wasteful number, since it uses less digits than its factorization.

11855698019256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8979 (or 8975 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 66.

The spelling of 11855698019256 in words is "eleven trillion, eight hundred fifty-five billion, six hundred ninety-eight million, nineteen thousand, two hundred fifty-six".