11838415680 has 1008 divisors, whose sum is σ = 53121519360. Its totient is φ = 2487324672.

The previous prime is 11838415643. The next prime is 11838415711. The reversal of 11838415680 is 8651483811.

11838415680 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 84 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 49533001 + ... + 49533239.

It is an arithmetic number, because the mean of its divisors is an integer number (52699920).

Almost surely, 2^11838415680 is an apocalyptic number.

11838415680 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 11838415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560759680).

11838415680 is an abundant number, since it is smaller than the sum of its proper divisors (41283103680).

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

11838415680 is a wasteful number, since it uses less digits than its factorization.

11838415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 269 counting only the distinct ones).

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

The spelling of 11838415680 in words is "eleven billion, eight hundred thirty-eight million, four hundred fifteen thousand, six hundred eighty".