11853681315840 has 4160 divisors, whose sum is σ = 57544697548800. Its totient is φ = 2262659235840.

The previous prime is 11853681315793. The next prime is 11853681315859. The reversal of 11853681315840 is 4851318635811.

11853681315840 is a `hidden beast` number, since 1 + 1 + 8 + 53 + 6 + 8 + 1 + 3 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 79554908086 + ... + 79554908234.

Almost surely, 2^{11853681315840} is an apocalyptic number.

11853681315840 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 11853681315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28772348774400).

11853681315840 is an abundant number, since it is smaller than the sum of its proper divisors (45691016232960).

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

11853681315840 is a wasteful number, since it uses less digits than its factorization.

11853681315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 11853681315840 in words is "eleven trillion, eight hundred fifty-three billion, six hundred eighty-one million, three hundred fifteen thousand, eight hundred forty".