16880935680 has 288 divisors, whose sum is σ = 68462553600. Its totient is φ = 3858444288.

The previous prime is 16880935667. The next prime is 16880935717. The reversal of 16880935680 is 8653908861.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 207031 + ... + 276809.

It is an arithmetic number, because the mean of its divisors is an integer number (237717200).

Almost surely, 2^16880935680 is an apocalyptic number.

16880935680 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 16880935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34231276800).

16880935680 is an abundant number, since it is smaller than the sum of its proper divisors (51581617920).

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

16880935680 is an equidigital number, since it uses as much as digits as its factorization.

16880935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69816 (or 69796 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 16880935680 in words is "sixteen billion, eight hundred eighty million, nine hundred thirty-five thousand, six hundred eighty".