20542325233200 has 240 divisors, whose sum is σ = 66133709171712. Its totient is φ = 5450544000000.

The previous prime is 20542325233193. The next prime is 20542325233219. The reversal of 20542325233200 is 233252324502.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298454790 + ... + 298523610.

Almost surely, 2^{20542325233200} is an apocalyptic number.

20542325233200 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 20542325233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33066854585856).

20542325233200 is an abundant number, since it is smaller than the sum of its proper divisors (45591383938512).

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

20542325233200 is a wasteful number, since it uses less digits than its factorization.

20542325233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70084 (or 70073 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 20542325233200 its reverse (233252324502), we get a palindrome (20775577557702).

The spelling of 20542325233200 in words is "twenty trillion, five hundred forty-two billion, three hundred twenty-five million, two hundred thirty-three thousand, two hundred".