11873947680 has 768 divisors, whose sum is σ = 49766814720. Its totient is φ = 2587852800.

The previous prime is 11873947669. The next prime is 11873947681. The reversal of 11873947680 is 8674937811.

11873947680 is a `hidden beast` number, since 1 + 187 + 394 + 76 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11873947681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75630162 + ... + 75630318.

It is an arithmetic number, because the mean of its divisors is an integer number (64800540).

Almost surely, 2^11873947680 is an apocalyptic number.

11873947680 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 11873947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24883407360).

11873947680 is an abundant number, since it is smaller than the sum of its proper divisors (37892867040).

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

11873947680 is a wasteful number, since it uses less digits than its factorization.

11873947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 11873947680 in words is "eleven billion, eight hundred seventy-three million, nine hundred forty-seven thousand, six hundred eighty".