16953581568 has 672 divisors, whose sum is σ = 61803491328. Its totient is φ = 4010803200.

The previous prime is 16953581531. The next prime is 16953581629. The reversal of 16953581568 is 86518535961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 546889713 + ... + 546889743.

Almost surely, 2^16953581568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16953581568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30901745664).

16953581568 is an abundant number, since it is smaller than the sum of its proper divisors (44849909760).

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

16953581568 is a wasteful number, since it uses less digits than its factorization.

16953581568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 71 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 57.

The spelling of 16953581568 in words is "sixteen billion, nine hundred fifty-three million, five hundred eighty-one thousand, five hundred sixty-eight".