11418835680 has 480 divisors, whose sum is σ = 46367354880. Its totient is φ = 2592414720.

The previous prime is 11418835657. The next prime is 11418835699. The reversal of 11418835680 is 8653881411.

11418835680 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 8 + 83 + 568 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 17327191 + ... + 17327849.

It is an arithmetic number, because the mean of its divisors is an integer number (96598656).

Almost surely, 2^11418835680 is an apocalyptic number.

11418835680 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 11418835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23183677440).

11418835680 is an abundant number, since it is smaller than the sum of its proper divisors (34948519200).

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

11418835680 is a wasteful number, since it uses less digits than its factorization.

11418835680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 867 counting only the distinct ones).

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

The spelling of 11418835680 in words is "eleven billion, four hundred eighteen million, eight hundred thirty-five thousand, six hundred eighty".