20535122243200 has 192 divisors, whose sum is σ = 51934581911520. Its totient is φ = 8018899660800.

The previous prime is 20535122243159. The next prime is 20535122243249. The reversal of 20535122243200 is 234222153502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274749835 + ... + 274824565.

Almost surely, 2^{20535122243200} is an apocalyptic number.

20535122243200 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 20535122243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25967290955760).

20535122243200 is an abundant number, since it is smaller than the sum of its proper divisors (31399459668320).

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

20535122243200 is a wasteful number, since it uses less digits than its factorization.

20535122243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76795 (or 76778 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 20535122243200 its reverse (234222153502), we get a palindrome (20769344396702).

The spelling of 20535122243200 in words is "twenty trillion, five hundred thirty-five billion, one hundred twenty-two million, two hundred forty-three thousand, two hundred".