20143416960 has 768 divisors, whose sum is σ = 80597462400. Its totient is φ = 4777574400.

The previous prime is 20143416947. The next prime is 20143416961. The reversal of 20143416960 is 6961434102.

20143416960 is a `hidden beast` number, since 2 + 0 + 1 + 434 + 169 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20143416961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 50232760 + ... + 50233160.

Almost surely, 2^20143416960 is an apocalyptic number.

20143416960 is a gapful number since it is divisible by the number (20) 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 20143416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40298731200).

20143416960 is an abundant number, since it is smaller than the sum of its proper divisors (60454045440).

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

20143416960 is a wasteful number, since it uses less digits than its factorization.

20143416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20143416960 in words is "twenty billion, one hundred forty-three million, four hundred sixteen thousand, nine hundred sixty".