20029416960 has 320 divisors, whose sum is σ = 77034355200. Its totient is φ = 4336975872.

The previous prime is 20029416943. The next prime is 20029416973. The reversal of 20029416960 is 6961492002.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1011636 + ... + 1031244.

It is an arithmetic number, because the mean of its divisors is an integer number (240732360).

Almost surely, 2^20029416960 is an apocalyptic number.

20029416960 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 20029416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38517177600).

20029416960 is an abundant number, since it is smaller than the sum of its proper divisors (57004938240).

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

20029416960 is a wasteful number, since it uses less digits than its factorization.

20029416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19661 (or 19645 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 20029416960 in words is "twenty billion, twenty-nine million, four hundred sixteen thousand, nine hundred sixty".