11541739693680 has 960 divisors, whose sum is σ = 47169040988160. Its totient is φ = 2472790892544.

The previous prime is 11541739693609. The next prime is 11541739693711. The reversal of 11541739693680 is 8639693714511.

It is a happy number.

11541739693680 is a `hidden beast` number, since 1 + 1 + 541 + 7 + 3 + 9 + 6 + 9 + 3 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2720181639 + ... + 2720185881.

It is an arithmetic number, because the mean of its divisors is an integer number (49134417696).

Almost surely, 2^{11541739693680} is an apocalyptic number.

11541739693680 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 11541739693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23584520494080).

11541739693680 is an abundant number, since it is smaller than the sum of its proper divisors (35627301294480).

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

11541739693680 is a wasteful number, since it uses less digits than its factorization.

11541739693680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 11541739693680 in words is "eleven trillion, five hundred forty-one billion, seven hundred thirty-nine million, six hundred ninety-three thousand, six hundred eighty".