11814105125760 has 384 divisors, whose sum is σ = 43855647121440. Its totient is φ = 2697282846720.

The previous prime is 11814105125717. The next prime is 11814105125791. The reversal of 11814105125760 is 6752150141811.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×11814105125760³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82813212 + ... + 82955748.

Almost surely, 2^{11814105125760} is an apocalyptic number.

11814105125760 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 11814105125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21927823560720).

11814105125760 is an abundant number, since it is smaller than the sum of its proper divisors (32041541995680).

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

11814105125760 is a wasteful number, since it uses less digits than its factorization.

11814105125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143454 (or 143435 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 42.

The spelling of 11814105125760 in words is "eleven trillion, eight hundred fourteen billion, one hundred five million, one hundred twenty-five thousand, seven hundred sixty".