20542010558720 has 432 divisors, whose sum is σ = 60812163825840. Its totient is φ = 6616305303552.

The previous prime is 20542010558567. The next prime is 20542010558723. The reversal of 20542010558720 is 2785501024502.

It can be written as a sum of positive squares in 8 ways, for example, as 1263447937024 + 19278562621696 = 1124032^2 + 4390736^2 .

It is not an unprimeable number, because it can be changed into a prime (20542010558723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67145942 + ... + 67451178.

It is an arithmetic number, because the mean of its divisors is an integer number (140768897745).

Almost surely, 2^{20542010558720} is an apocalyptic number.

20542010558720 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 20542010558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30406081912920).

20542010558720 is an abundant number, since it is smaller than the sum of its proper divisors (40270153267120).

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

20542010558720 is a wasteful number, since it uses less digits than its factorization.

20542010558720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305338 (or 305317 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 41.

The spelling of 20542010558720 in words is "twenty trillion, five hundred forty-two billion, ten million, five hundred fifty-eight thousand, seven hundred twenty".