21542146800200 has 48 divisors (see below), whose sum is σ = 53938221417780. Its totient is φ = 7954023432960.

The previous prime is 21542146800191. The next prime is 21542146800217. The reversal of 21542146800200 is 200864124512.

It can be written as a sum of positive squares in 6 ways, for example, as 9364322173924 + 12177824626276 = 3060118^2 + 3489674^2 .

It is a super-2 number, since 2×21542146800200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4142717939 + ... + 4142723138.

Almost surely, 2^{21542146800200} is an apocalyptic number.

21542146800200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21542146800200 is an abundant number, since it is smaller than the sum of its proper divisors (32396074617580).

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

21542146800200 is a wasteful number, since it uses less digits than its factorization.

21542146800200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285441106 (or 8285441097 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 21542146800200 in words is "twenty-one trillion, five hundred forty-two billion, one hundred forty-six million, eight hundred thousand, two hundred".