20523311241400 has 192 divisors, whose sum is σ = 52586422646400. Its totient is φ = 7386818880000.

The previous prime is 20523311241353. The next prime is 20523311241421. The reversal of 20523311241400 is 414211332502.

It is a super-2 number, since 2×20523311241400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 813017179 + ... + 813042421.

It is an arithmetic number, because the mean of its divisors is an integer number (273887617950).

Almost surely, 2^{20523311241400} is an apocalyptic number.

20523311241400 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 20523311241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26293211323200).

20523311241400 is an abundant number, since it is smaller than the sum of its proper divisors (32063111405000).

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

20523311241400 is a wasteful number, since it uses less digits than its factorization.

20523311241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29030 (or 29021 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 20523311241400 its reverse (414211332502), we get a palindrome (20937522573902).

The spelling of 20523311241400 in words is "twenty trillion, five hundred twenty-three billion, three hundred eleven million, two hundred forty-one thousand, four hundred".