20359902568320 has 1152 divisors, whose sum is σ = 84044964912480. Its totient is φ = 4525955481600.

The previous prime is 20359902568319. The next prime is 20359902568331. The reversal of 20359902568320 is 2386520995302.

20359902568320 is a `hidden beast` number, since 2 + 0 + 3 + 59 + 9 + 0 + 2 + 568 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 2924849640 + ... + 2924856600.

Almost surely, 2^{20359902568320} is an apocalyptic number.

20359902568320 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 20359902568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42022482456240).

20359902568320 is an abundant number, since it is smaller than the sum of its proper divisors (63685062344160).

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

20359902568320 is a wasteful number, since it uses less digits than its factorization.

20359902568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 20359902568320 in words is "twenty trillion, three hundred fifty-nine billion, nine hundred two million, five hundred sixty-eight thousand, three hundred twenty".