20627548542720 has 1728 divisors, whose sum is σ = 88810797164544. Its totient is φ = 4481922170880.

The previous prime is 20627548542703. The next prime is 20627548542721. The reversal of 20627548542720 is 2724584572602.

20627548542720 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 7 + 548 + 54 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20627548542721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8663395930 + ... + 8663398310.

It is an arithmetic number, because the mean of its divisors is an integer number (51395137248).

Almost surely, 2^{20627548542720} is an apocalyptic number.

20627548542720 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 20627548542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44405398582272).

20627548542720 is an abundant number, since it is smaller than the sum of its proper divisors (68183248621824).

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

20627548542720 is a wasteful number, since it uses less digits than its factorization.

20627548542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 20627548542720 in words is "twenty trillion, six hundred twenty-seven billion, five hundred forty-eight million, five hundred forty-two thousand, seven hundred twenty".