20430963168 has 576 divisors, whose sum is σ = 72013971456. Its totient is φ = 5007744000.

The previous prime is 20430963109. The next prime is 20430963191. The reversal of 20430963168 is 86136903402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75390873 + ... + 75391143.

It is an arithmetic number, because the mean of its divisors is an integer number (125024256).

Almost surely, 2^20430963168 is an apocalyptic number.

20430963168 is a gapful number since it is divisible by the number (28) 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 20430963168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36006985728).

20430963168 is an abundant number, since it is smaller than the sum of its proper divisors (51583008288).

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

20430963168 is a wasteful number, since it uses less digits than its factorization.

20430963168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 20430963168 in words is "twenty billion, four hundred thirty million, nine hundred sixty-three thousand, one hundred sixty-eight".