16717315680 has 384 divisors, whose sum is σ = 66332044800. Its totient is φ = 3898202112.

The previous prime is 16717315651. The next prime is 16717315733. The reversal of 16717315680 is 8651371761.

16717315680 is a `hidden beast` number, since 16 + 7 + 1 + 73 + 1 + 568 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1059207 + ... + 1074873.

It is an arithmetic number, because the mean of its divisors is an integer number (172739700).

Almost surely, 2^16717315680 is an apocalyptic number.

16717315680 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 16717315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33166022400).

16717315680 is an abundant number, since it is smaller than the sum of its proper divisors (49614729120).

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

16717315680 is a wasteful number, since it uses less digits than its factorization.

16717315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15723 (or 15709 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 16717315680 in words is "sixteen billion, seven hundred seventeen million, three hundred fifteen thousand, six hundred eighty".