20218145122560 has 2304 divisors, whose sum is σ = 86195595902976. Its totient is φ = 3917168640000.

The previous prime is 20218145122543. The next prime is 20218145122561. The reversal of 20218145122560 is 6522154181202.

It is not an unprimeable number, because it can be changed into a prime (20218145122561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30587208630 + ... + 30587209290.

It is an arithmetic number, because the mean of its divisors is an integer number (37411282944).

Almost surely, 2^{20218145122560} is an apocalyptic number.

20218145122560 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 20218145122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43097797951488).

20218145122560 is an abundant number, since it is smaller than the sum of its proper divisors (65977450780416).

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

20218145122560 is a wasteful number, since it uses less digits than its factorization.

20218145122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 20218145122560 in words is "twenty trillion, two hundred eighteen billion, one hundred forty-five million, one hundred twenty-two thousand, five hundred sixty".