20300341348800 has 1344 divisors, whose sum is σ = 82138342809600. Its totient is φ = 4854811852800.

The previous prime is 20300341348789. The next prime is 20300341348813. The reversal of 20300341348800 is 884314300302.

It is a happy number.

20300341348800 is a `hidden beast` number, since 2 + 0 + 300 + 3 + 4 + 1 + 348 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×20300341348800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1294739361 + ... + 1294755039.

It is an arithmetic number, because the mean of its divisors is an integer number (61114838400).

Almost surely, 2^{20300341348800} is an apocalyptic number.

20300341348800 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 20300341348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41069171404800).

20300341348800 is an abundant number, since it is smaller than the sum of its proper divisors (61838001460800).

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

20300341348800 is a wasteful number, since it uses less digits than its factorization.

20300341348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15811 (or 15790 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 20300341348800 in words is "twenty trillion, three hundred billion, three hundred forty-one million, three hundred forty-eight thousand, eight hundred".