20620475713152 has 192 divisors, whose sum is σ = 67828815624960. Its totient is φ = 5890308802560.

The previous prime is 20620475713099. The next prime is 20620475713157. The reversal of 20620475713152 is 25131757402602.

20620475713152 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 0 + 47 + 571 + 31 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 20620475713098 and 20620475713107.

It is not an unprimeable number, because it can be changed into a prime (20620475713157) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 37896777 + ... + 38437047.

It is an arithmetic number, because the mean of its divisors is an integer number (353275081380).

Almost surely, 2^{20620475713152} 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 20620475713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33914407812480).

20620475713152 is an abundant number, since it is smaller than the sum of its proper divisors (47208339911808).

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

20620475713152 is a wasteful number, since it uses less digits than its factorization.

20620475713152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545031 (or 545016 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 20620475713152 in words is "twenty trillion, six hundred twenty billion, four hundred seventy-five million, seven hundred thirteen thousand, one hundred fifty-two".