20124202042560 has 1008 divisors, whose sum is σ = 82274959436544. Its totient is φ = 4079383756800.

The previous prime is 20124202042547. The next prime is 20124202042561. The reversal of 20124202042560 is 6524020242102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20124202042561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1366847359 + ... + 1366862081.

It is an arithmetic number, because the mean of its divisors is an integer number (81621983568).

Almost surely, 2^{20124202042560} is an apocalyptic number.

20124202042560 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 20124202042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41137479718272).

20124202042560 is an abundant number, since it is smaller than the sum of its proper divisors (62150757393984).

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

20124202042560 is a wasteful number, since it uses less digits than its factorization.

20124202042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14854 (or 14792 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 20124202042560 its reverse (6524020242102), we get a palindrome (26648222284662).

The spelling of 20124202042560 in words is "twenty trillion, one hundred twenty-four billion, two hundred two million, forty-two thousand, five hundred sixty".