20011113302400 has 1152 divisors, whose sum is σ = 82192926816000. Its totient is φ = 4584779366400.

The previous prime is 20011113302393. The next prime is 20011113302429. The reversal of 20011113302400 is 420331111002.

20011113302400 is a `hidden beast` number, since 20 + 0 + 111 + 133 + 0 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2642425014 + ... + 2642432586.

It is an arithmetic number, because the mean of its divisors is an integer number (71348026750).

Almost surely, 2^{20011113302400} is an apocalyptic number.

20011113302400 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 20011113302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41096463408000).

20011113302400 is an abundant number, since it is smaller than the sum of its proper divisors (62181813513600).

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

20011113302400 is a wasteful number, since it uses less digits than its factorization.

20011113302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8072 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20011113302400 its reverse (420331111002), we get a palindrome (20431444413402).

The spelling of 20011113302400 in words is "twenty trillion, eleven billion, one hundred thirteen million, three hundred two thousand, four hundred".