11837454786720 has 480 divisors, whose sum is σ = 42130186560000. Its totient is φ = 3129993529344.

The previous prime is 11837454786691. The next prime is 11837454786733. The reversal of 11837454786720 is 2768745473811.

It is a happy number.

11837454786720 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 7 + 4 + 547 + 8 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1172136231 + ... + 1172146329.

It is an arithmetic number, because the mean of its divisors is an integer number (87771222000).

Almost surely, 2^{11837454786720} is an apocalyptic number.

11837454786720 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 11837454786720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21065093280000).

11837454786720 is an abundant number, since it is smaller than the sum of its proper divisors (30292731773280).

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

11837454786720 is a wasteful number, since it uses less digits than its factorization.

11837454786720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10882 (or 10865 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 11837454786720 in words is "eleven trillion, eight hundred thirty-seven billion, four hundred fifty-four million, seven hundred eighty-six thousand, seven hundred twenty".