16968288960 has 672 divisors, whose sum is σ = 72527769600. Its totient is φ = 3553320960.

The previous prime is 16968288949. The next prime is 16968288971. The reversal of 16968288960 is 6988286961.

16968288960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16968288949) and next prime (16968288971).

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11873526 + ... + 11874954.

Almost surely, 2^16968288960 is an apocalyptic number.

16968288960 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 16968288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36263884800).

16968288960 is an abundant number, since it is smaller than the sum of its proper divisors (55559480640).

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

16968288960 is a wasteful number, since it uses less digits than its factorization.

16968288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 16968288960 in words is "sixteen billion, nine hundred sixty-eight million, two hundred eighty-eight thousand, nine hundred sixty".