20124365808960 has 1008 divisors, whose sum is σ = 85582562083200. Its totient is φ = 4315389861888.

The previous prime is 20124365808917. The next prime is 20124365808991. The reversal of 20124365808960 is 6980856342102.

20124365808960 is a `hidden beast` number, since 2 + 0 + 1 + 24 + 36 + 580 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 20124365808897 and 20124365808906.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 276135406 + ... + 276208274.

It is an arithmetic number, because the mean of its divisors is an integer number (84903335400).

Almost surely, 2^{20124365808960} is an apocalyptic number.

20124365808960 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 20124365808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42791281041600).

20124365808960 is an abundant number, since it is smaller than the sum of its proper divisors (65458196274240).

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

20124365808960 is a wasteful number, since it uses less digits than its factorization.

20124365808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73028 (or 73008 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 20124365808960 in words is "twenty trillion, one hundred twenty-four billion, three hundred sixty-five million, eight hundred eight thousand, nine hundred sixty".