21481228636800 has 96 divisors (see below), whose sum is σ = 70753796854080. Its totient is φ = 5728327633920.

The previous prime is 21481228636717. The next prime is 21481228636871. The reversal of 21481228636800 is 863682218412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21481228636800² (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, 1118804392 + ... + 1118823591.

It is an arithmetic number, because the mean of its divisors is an integer number (737018717230).

Almost surely, 2^{21481228636800} is an apocalyptic number.

21481228636800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21481228636800 is an abundant number, since it is smaller than the sum of its proper divisors (49272568217280).

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

21481228636800 is a wasteful number, since it uses less digits than its factorization.

21481228636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237628010 (or 2237627993 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 21481228636800 in words is "twenty-one trillion, four hundred eighty-one billion, two hundred twenty-eight million, six hundred thirty-six thousand, eight hundred".