11843815680 has 576 divisors, whose sum is σ = 46887724800. Its totient is φ = 2813460480.

The previous prime is 11843815679. The next prime is 11843815757. The reversal of 11843815680 is 8651834811.

11843815680 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 3 + 81 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11162350 + ... + 11163410.

It is an arithmetic number, because the mean of its divisors is an integer number (81402300).

Almost surely, 2^11843815680 is an apocalyptic number.

11843815680 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 11843815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23443862400).

11843815680 is an abundant number, since it is smaller than the sum of its proper divisors (35043909120).

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

11843815680 is a wasteful number, since it uses less digits than its factorization.

11843815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 11843815680 in words is "eleven billion, eight hundred forty-three million, eight hundred fifteen thousand, six hundred eighty".