21200206492080 has 1280 divisors, whose sum is σ = 93864849408000. Its totient is φ = 4269554012160.

The previous prime is 21200206492063. The next prime is 21200206492163. The reversal of 21200206492080 is 8029460200212.

21200206492080 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 0 + 2 + 0 + 649 + 2 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1618453371 + ... + 1618466469.

It is an arithmetic number, because the mean of its divisors is an integer number (73331913600).

Almost surely, 2^{21200206492080} is an apocalyptic number.

21200206492080 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 21200206492080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46932424704000).

21200206492080 is an abundant number, since it is smaller than the sum of its proper divisors (72664642915920).

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

21200206492080 is a wasteful number, since it uses less digits than its factorization.

21200206492080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13439 (or 13427 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 21200206492080 its reverse (8029460200212), we get a palindrome (29229666692292).

The spelling of 21200206492080 in words is "twenty-one trillion, two hundred billion, two hundred six million, four hundred ninety-two thousand, eighty".