20015303202400 has 144 divisors (see below), whose sum is σ = 53441429998320. Its totient is φ = 7259580569600.

The previous prime is 20015303202361. The next prime is 20015303202413. The reversal of 20015303202400 is 420230351002.

It is a super-2 number, since 2×20015303202400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499722 + ... + 6346678.

It is an arithmetic number, because the mean of its divisors is an integer number (371121041655).

Almost surely, 2^{20015303202400} is an apocalyptic number.

20015303202400 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 20015303202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26720714999160).

20015303202400 is an abundant number, since it is smaller than the sum of its proper divisors (33426126795920).

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

20015303202400 is a wasteful number, since it uses less digits than its factorization.

20015303202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847377 (or 5847364 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 20015303202400 its reverse (420230351002), we get a palindrome (20435533553402).

The spelling of 20015303202400 in words is "twenty trillion, fifteen billion, three hundred three million, two hundred two thousand, four hundred".