16818338880 has 896 divisors, whose sum is σ = 72098611200. Its totient is φ = 3609059328.

The previous prime is 16818338879. The next prime is 16818338903. The reversal of 16818338880 is 8883381861.

It is a happy number.

16818338880 is a `hidden beast` number, since 1 + 6 + 8 + 183 + 388 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75418449 + ... + 75418671.

It is an arithmetic number, because the mean of its divisors is an integer number (80467200).

Almost surely, 2^16818338880 is an apocalyptic number.

16818338880 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 16818338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36049305600).

16818338880 is an abundant number, since it is smaller than the sum of its proper divisors (55280272320).

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

16818338880 is a wasteful number, since it uses less digits than its factorization.

16818338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 16818338880 in words is "sixteen billion, eight hundred eighteen million, three hundred thirty-eight thousand, eight hundred eighty".