20623908924288 has 384 divisors, whose sum is σ = 62737873380000. Its totient is φ = 6485047640064.

The previous prime is 20623908924287. The next prime is 20623908924313. The reversal of 20623908924288 is 88242980932602.

20623908924288 is a `hidden beast` number, since 2 + 0 + 6 + 239 + 0 + 89 + 242 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20623908924287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7279881720 + ... + 7279884552.

Almost surely, 2^{20623908924288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20623908924288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31368936690000).

20623908924288 is an abundant number, since it is smaller than the sum of its proper divisors (42113964455712).

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

20623908924288 is a wasteful number, since it uses less digits than its factorization.

20623908924288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 20623908924288 in words is "twenty trillion, six hundred twenty-three billion, nine hundred eight million, nine hundred twenty-four thousand, two hundred eighty-eight".