16953404160 has 432 divisors, whose sum is σ = 68719214592. Its totient is φ = 3522355200.

The previous prime is 16953404141. The next prime is 16953404179. The reversal of 16953404160 is 6140435961.

It is an interprime number because it is at equal distance from previous prime (16953404141) and next prime (16953404179).

It is a super-3 number, since 3×16953404160³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2065665 + ... + 2073855.

It is an arithmetic number, because the mean of its divisors is an integer number (159072256).

Almost surely, 2^16953404160 is an apocalyptic number.

16953404160 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 16953404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34359607296).

16953404160 is an abundant number, since it is smaller than the sum of its proper divisors (51765810432).

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

16953404160 is a wasteful number, since it uses less digits than its factorization.

16953404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8240 (or 8219 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 16953404160 in words is "sixteen billion, nine hundred fifty-three million, four hundred four thousand, one hundred sixty".