16959951360 has 240 divisors, whose sum is σ = 64077773760. Its totient is φ = 4111441920.

The previous prime is 16959951317. The next prime is 16959951389. The reversal of 16959951360 is 6315995961.

It is a happy number.

16959951360 is a `hidden beast` number, since 1 + 69 + 5 + 9 + 9 + 513 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 16959951297 and 16959951306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219981 + ... + 286899.

It is an arithmetic number, because the mean of its divisors is an integer number (266990724).

Almost surely, 2^16959951360 is an apocalyptic number.

16959951360 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 16959951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32038886880).

16959951360 is an abundant number, since it is smaller than the sum of its proper divisors (47117822400).

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

16959951360 is a wasteful number, since it uses less digits than its factorization.

16959951360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66959 (or 66940 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 16959951360 in words is "sixteen billion, nine hundred fifty-nine million, nine hundred fifty-one thousand, three hundred sixty".