16538618880 has 704 divisors, whose sum is σ = 68323292160. Its totient is φ = 3762339840.

The previous prime is 16538618743. The next prime is 16538618893. The reversal of 16538618880 is 8881683561.

16538618880 is a `hidden beast` number, since 1 + 6 + 5 + 386 + 188 + 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 63 ways as a sum of consecutive naturals, for example, 78381975 + ... + 78382185.

Almost surely, 2^16538618880 is an apocalyptic number.

16538618880 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 16538618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34161646080).

16538618880 is an abundant number, since it is smaller than the sum of its proper divisors (51784673280).

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

16538618880 is an frugal number, since it uses more digits than its factorization.

16538618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 16538618880 in words is "sixteen billion, five hundred thirty-eight million, six hundred eighteen thousand, eight hundred eighty".